132698736000 has 1280 divisors, whose sum is σ = 551035742400. Its totient is φ = 31452364800.

The previous prime is 132698735987. The next prime is 132698736013. The reversal of 132698736000 is 637896231.

132698736000 is a `hidden beast` number, since 1 + 32 + 6 + 9 + 8 + 7 + 3 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (132698735987) and next prime (132698736013).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 418607842 + ... + 418608158.

Almost surely, 2^132698736000 is an apocalyptic number.

132698736000 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 132698736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275517871200).

132698736000 is an abundant number, since it is smaller than the sum of its proper divisors (418337006400).

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

132698736000 is a wasteful number, since it uses less digits than its factorization.

132698736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 132698736000 in words is "one hundred thirty-two billion, six hundred ninety-eight million, seven hundred thirty-six thousand".