132515040 has 96 divisors (see below), whose sum is σ = 477066240. Its totient is φ = 30288384.

The previous prime is 132515023. The next prime is 132515057. The reversal of 132515040 is 40515231.

It is an interprime number because it is at equal distance from previous prime (132515023) and next prime (132515057).

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

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 132514998 and 132515016.

It is a congruent number.

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, 16360 + ... + 23079.

It is an arithmetic number, because the mean of its divisors is an integer number (4969440).

Almost surely, 2^132515040 is an apocalyptic number.

132515040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132515040 is an abundant number, since it is smaller than the sum of its proper divisors (344551200).

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

132515040 is a wasteful number, since it uses less digits than its factorization.

132515040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39464 (or 39456 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 132515040 is about 11511.5177105367. The cubic root of 132515040 is about 509.8256997604.

The spelling of 132515040 in words is "one hundred thirty-two million, five hundred fifteen thousand, forty".