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135538992 = 24323725439
BaseRepresentation
bin10000001010000…
…10100100110000
3100110001002112200
420011002210300
5234144221432
621241023200
73234030261
oct1005024460
9313032480
10135538992
116a5654a6
1239484b00
13221079b4
1414002968
15bd74a7c
hex8142930

135538992 has 60 divisors (see below), whose sum is σ = 389588160. Its totient is φ = 43956864.

The previous prime is 135538969. The next prime is 135538999. The reversal of 135538992 is 299835531.

135538992 is a `hidden beast` number, since 1 + 3 + 553 + 8 + 9 + 92 = 666.

It is not an unprimeable number, because it can be changed into a prime (135538999) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7392 + ... + 18047.

It is an arithmetic number, because the mean of its divisors is an integer number (6493136).

Almost surely, 2135538992 is an apocalyptic number.

135538992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135538992 is an abundant number, since it is smaller than the sum of its proper divisors (254049168).

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

135538992 is a wasteful number, since it uses less digits than its factorization.

135538992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25490 (or 25481 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The square root of 135538992 is about 11642.1214561608. The cubic root of 135538992 is about 513.6745910240.

It can be divided in two parts, 1355389 and 92, that added together give a triangular number (1355481 = T1646).

The spelling of 135538992 in words is "one hundred thirty-five million, five hundred thirty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 5328 25439 50878 76317 101756 152634 203512 228951 305268 407024 457902 610536 915804 941243 1221072 1831608 1882486 2823729 3663216 3764972 5647458 7529944 8471187 11294916 15059888 16942374 22589832 33884748 45179664 67769496 135538992