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132157440 = 212335239
BaseRepresentation
bin1111110000010…
…01000000000000
3100012200021221000
413320021000000
5232313014230
621040332000
73163214442
oct770110000
9305607830
10132157440
1168665928
1238314000
13214c278c
14137a2492
15b907b60
hex7e09000

132157440 has 208 divisors, whose sum is σ = 471801600. Its totient is φ = 35094528.

The previous prime is 132157429. The next prime is 132157453. The reversal of 132157440 is 44751231.

132157440 is a `hidden beast` number, since 1 + 3 + 215 + 7 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 552841 + ... + 553079.

Almost surely, 2132157440 is an apocalyptic number.

132157440 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 132157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235900800).

132157440 is an abundant number, since it is smaller than the sum of its proper divisors (339644160).

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

132157440 is an equidigital number, since it uses as much as digits as its factorization.

132157440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 132157440 is about 11495.9749477806. The cubic root of 132157440 is about 509.3666879344.

The spelling of 132157440 in words is "one hundred thirty-two million, one hundred fifty-seven thousand, four hundred forty".