132653400 has 192 divisors, whose sum is σ = 455328000. Its totient is φ = 31680000.

The previous prime is 132653341. The next prime is 132653413. The reversal of 132653400 is 4356231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 666501 + ... + 666699.

It is an arithmetic number, because the mean of its divisors is an integer number (2371500).

Almost surely, 2^132653400 is an apocalyptic number.

132653400 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 132653400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227664000).

132653400 is an abundant number, since it is smaller than the sum of its proper divisors (322674600).

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

132653400 is a wasteful number, since it uses less digits than its factorization.

132653400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 132653400 is about 11517.5257759642. The cubic root of 132653400 is about 510.0030757216.

The spelling of 132653400 in words is "one hundred thirty-two million, six hundred fifty-three thousand, four hundred".