133400561904 has 160 divisors (see below), whose sum is σ = 406819944000. Its totient is φ = 41773003776.

The previous prime is 133400561891. The next prime is 133400562013. The reversal of 133400561904 is 409165004331.

133400561904 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 0 + 0 + 561 + 90 + 4 = 666.

It is a super-2 number, since 2×133400561904² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 319642 + ... + 607430.

It is an arithmetic number, because the mean of its divisors is an integer number (2542624650).

Almost surely, 2^133400561904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133400561904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203409972000).

133400561904 is an abundant number, since it is smaller than the sum of its proper divisors (273419382096).

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

133400561904 is a wasteful number, since it uses less digits than its factorization.

133400561904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287872 (or 287860 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 133400561904 in words is "one hundred thirty-three billion, four hundred million, five hundred sixty-one thousand, nine hundred four".