133400257600 has 189 divisors, whose sum is σ = 344006678127. Its totient is φ = 50911534080.

The previous prime is 133400257561. The next prime is 133400257603. The reversal of 133400257600 is 6752004331.

The square root of 133400257600 is 365240.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 134374464 + 133265883136 = 11592^2 + 365056^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133400257603) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 336020602 + ... + 336020998.

Almost surely, 2^133400257600 is an apocalyptic number.

133400257600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133400257600 is the 365240-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133400257600

133400257600 is an abundant number, since it is smaller than the sum of its proper divisors (210606420527).

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

133400257600 is an frugal number, since it uses more digits than its factorization.

133400257600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The spelling of 133400257600 in words is "one hundred thirty-three billion, four hundred million, two hundred fifty-seven thousand, six hundred".