132702710400 has 384 divisors, whose sum is σ = 523017566400. Its totient is φ = 32665006080.

The previous prime is 132702710323. The next prime is 132702710419. The reversal of 132702710400 is 4017207231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×132702710400² (a number of 23 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 1064127 + ... + 1182273.

Almost surely, 2^132702710400 is an apocalyptic number.

132702710400 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 132702710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261508783200).

132702710400 is an abundant number, since it is smaller than the sum of its proper divisors (390314856000).

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

132702710400 is a wasteful number, since it uses less digits than its factorization.

132702710400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118193 (or 118170 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

Adding to 132702710400 its reverse (4017207231), we get a palindrome (136719917631).

The spelling of 132702710400 in words is "one hundred thirty-two billion, seven hundred two million, seven hundred ten thousand, four hundred".