132790862400 has 504 divisors, whose sum is σ = 536621162976. Its totient is φ = 28565913600.

The previous prime is 132790862387. The next prime is 132790862401. The reversal of 132790862400 is 4268097231.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (132790862401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3981795 + ... + 4015005.

Almost surely, 2^132790862400 is an apocalyptic number.

132790862400 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 132790862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268310581488).

132790862400 is an abundant number, since it is smaller than the sum of its proper divisors (403830300576).

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

132790862400 is a wasteful number, since it uses less digits than its factorization.

132790862400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33267 (or 33245 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 132790862400 in words is "one hundred thirty-two billion, seven hundred ninety million, eight hundred sixty-two thousand, four hundred".