132345149904 has 480 divisors, whose sum is σ = 426432135168. Its totient is φ = 37953792000.

The previous prime is 132345149837. The next prime is 132345149917. The reversal of 132345149904 is 409941543231.

132345149904 is a `hidden beast` number, since 13 + 2 + 34 + 514 + 9 + 90 + 4 = 666.

It is a super-2 number, since 2×132345149904² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132345149904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 692906449 + ... + 692906639.

Almost surely, 2^132345149904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132345149904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213216067584).

132345149904 is an abundant number, since it is smaller than the sum of its proper divisors (294086985264).

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

132345149904 is a wasteful number, since it uses less digits than its factorization.

132345149904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 132345149904 in words is "one hundred thirty-two billion, three hundred forty-five million, one hundred forty-nine thousand, nine hundred four".