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148135680 = 28325711167
BaseRepresentation
bin10001101010001…
…01111100000000
3101022202001221200
420311011330000
5300410320210
622411021200
73446063310
oct1065057400
9338661850
10148135680
1176689590
124173a800
13248c8464
1415961440
15d0120c0
hex8d45f00

148135680 has 432 divisors, whose sum is σ = 642829824. Its totient is φ = 30597120.

The previous prime is 148135667. The next prime is 148135693. The reversal of 148135680 is 86531841.

148135680 is a `hidden beast` number, since 14 + 81 + 3 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (148135667) and next prime (148135693).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 886957 + ... + 887123.

It is an arithmetic number, because the mean of its divisors is an integer number (1488032).

Almost surely, 2148135680 is an apocalyptic number.

148135680 is a gapful number since it is divisible by the number (10) 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 148135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321414912).

148135680 is an abundant number, since it is smaller than the sum of its proper divisors (494694144).

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

148135680 is a wasteful number, since it uses less digits than its factorization.

148135680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 148135680 is about 12171.1001967776. The cubic root of 148135680 is about 529.1188396093.

The spelling of 148135680 in words is "one hundred forty-eight million, one hundred thirty-five thousand, six hundred eighty".