134807146979904 has 735 divisors, whose sum is σ = 468323898116777. Its totient is φ = 38481217108992.

The previous prime is 134807146979891. The next prime is 134807146979933. The reversal of 134807146979904 is 409979641708431.

The square root of 134807146979904 is 11610648.

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

134807146979904 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 0 + 7 + 1 + 469 + 79 + 90 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38336405889600 + 96470741090304 = 6191640^2 + 9821952^2 .

It is a super-2 number, since 2×134807146979904² (a number of 29 digits) contains 22 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 122887097884 + ... + 122887098980.

Almost surely, 2^{134807146979904} is an apocalyptic number.

134807146979904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

134807146979904 is the 11610648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134807146979904

134807146979904 is an abundant number, since it is smaller than the sum of its proper divisors (333516751136873).

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

134807146979904 is an frugal number, since it uses more digits than its factorization.

134807146979904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 134807146979904 in words is "one hundred thirty-four trillion, eight hundred seven billion, one hundred forty-six million, nine hundred seventy-nine thousand, nine hundred four".