133912083600 has 675 divisors, whose sum is σ = 512010475977. Its totient is φ = 33514248960.

The previous prime is 133912083593. The next prime is 133912083607. The reversal of 133912083600 is 6380219331.

133912083600 = 1³ + 2³ + ... + 855³.

The square root of 133912083600 is 365940.

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

133912083600 is a `hidden beast` number, since 1 + 3 + 3 + 91 + 208 + 360 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (133912083593) and next prime (133912083607).

It can be written as a sum of positive squares in only one way, i.e., 48208350096 + 85703733504 = 219564^2 + 292752^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a super-2 number, since 2×133912083600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (133912083607) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1251514747 + ... + 1251514853.

Almost surely, 2^133912083600 is an apocalyptic number.

133912083600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133912083600 is the 365940-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133912083600

133912083600 is an abundant number, since it is smaller than the sum of its proper divisors (378098392377).

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

133912083600 is a wasteful number, since it uses less digits than its factorization.

133912083600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Multiplying 133912083600 by its sum of digits (36), we get a square (4820835009600 = 2195640²).

133912083600 divided by its sum of digits (36) gives a square (3719780100 = 60990²).

The spelling of 133912083600 in words is "one hundred thirty-three billion, nine hundred twelve million, eighty-three thousand, six hundred".