134972330400 has 144 divisors (see below), whose sum is σ = 488150006400. Its totient is φ = 35992615680.

The previous prime is 134972330387. The next prime is 134972330431. The reversal of 134972330400 is 4033279431.

134972330400 is a `hidden beast` number, since 1 + 349 + 7 + 2 + 3 + 304 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3102760 + ... + 3145959.

It is an arithmetic number, because the mean of its divisors is an integer number (3389930600).

Almost surely, 2^134972330400 is an apocalyptic number.

134972330400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134972330400 is an abundant number, since it is smaller than the sum of its proper divisors (353177676000).

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

134972330400 is a wasteful number, since it uses less digits than its factorization.

134972330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6248748 (or 6248729 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 134972330400 in words is "one hundred thirty-four billion, nine hundred seventy-two million, three hundred thirty thousand, four hundred".