134747726400 has 1701 divisors, whose sum is σ = 614658270681. Its totient is φ = 27909826560.

The previous prime is 134747726363. The next prime is 134747726479. The reversal of 134747726400 is 4627747431.

The square root of 134747726400 is 367080.

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

134747726400 is a `hidden beast` number, since 1 + 347 + 47 + 7 + 264 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 48509181504 + 86238544896 = 220248^2 + 293664^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 242 ways as a sum of consecutive naturals, for example, 5858596789 + ... + 5858596811.

Almost surely, 2^134747726400 is an apocalyptic number.

134747726400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

134747726400 is the 367080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134747726400

134747726400 is an abundant number, since it is smaller than the sum of its proper divisors (479910544281).

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

134747726400 is a wasteful number, since it uses less digits than its factorization.

134747726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 134747726400 in words is "one hundred thirty-four billion, seven hundred forty-seven million, seven hundred twenty-six thousand, four hundred".