134976974688 has 72 divisors (see below), whose sum is σ = 383877670176. Its totient is φ = 44988000000.

The previous prime is 134976974687. The next prime is 134976974689. The reversal of 134976974688 is 886479679431.

134976974688 is a `hidden beast` number, since 1 + 3 + 4 + 9 + 76 + 97 + 468 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (134976974687) and next prime (134976974689).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134976974687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4680313 + ... + 4709063.

It is an arithmetic number, because the mean of its divisors is an integer number (5331634308).

Almost surely, 2^134976974688 is an apocalyptic number.

134976974688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

134976974688 is an abundant number, since it is smaller than the sum of its proper divisors (248900695488).

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

134976974688 is a wasteful number, since it uses less digits than its factorization.

134976974688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45068 (or 45057 counting only the distinct ones).

The product of its digits is 438939648, while the sum is 72.

The spelling of 134976974688 in words is "one hundred thirty-four billion, nine hundred seventy-six million, nine hundred seventy-four thousand, six hundred eighty-eight".