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136215648 = 2533374261
BaseRepresentation
bin10000001111001…
…11110001100000
3100111022110202000
420013213301200
5234332400043
621303324000
73242546112
oct1007476140
9314273660
10136215648
116a987918
1239750600
13222b399a
141413b3b2
15be5a2d3
hex81e7c60

136215648 has 96 divisors (see below), whose sum is σ = 408129120. Its totient is φ = 44167680.

The previous prime is 136215647. The next prime is 136215659. The reversal of 136215648 is 846512631.

It is a happy number.

136215648 is a `hidden beast` number, since 1 + 3 + 6 + 2 + 1 + 5 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×1362156483 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136215641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29838 + ... + 34098.

It is an arithmetic number, because the mean of its divisors is an integer number (4251345).

Almost surely, 2136215648 is an apocalyptic number.

136215648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136215648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204064560).

136215648 is an abundant number, since it is smaller than the sum of its proper divisors (271913472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

136215648 is a wasteful number, since it uses less digits than its factorization.

136215648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4317 (or 4303 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 136215648 is about 11671.1459591593. The cubic root of 136215648 is about 514.5279842661.

The spelling of 136215648 in words is "one hundred thirty-six million, two hundred fifteen thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 96 108 111 144 148 216 222 288 296 333 432 444 592 666 864 888 999 1184 1332 1776 1998 2664 3552 3996 4261 5328 7992 8522 10656 12783 15984 17044 25566 31968 34088 38349 51132 68176 76698 102264 115047 136352 153396 157657 204528 230094 306792 315314 409056 460188 472971 613584 630628 920376 945942 1227168 1261256 1418913 1840752 1891884 2522512 2837826 3681504 3783768 4256739 5045024 5675652 7567536 8513478 11351304 15135072 17026956 22702608 34053912 45405216 68107824 136215648