134957477094400 has 297 divisors, whose sum is σ = 355450190421187. Its totient is φ = 50795624857600.

The previous prime is 134957477094287. The next prime is 134957477094491. The reversal of 134957477094400 is 4490774759431.

The square root of 134957477094400 is 11617120.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3156790813696 + 131800686280704 = 1776736^2 + 11480448^2 .

It is a super-2 number, since 2×134957477094400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 31598564265 + ... + 31598568535.

Almost surely, 2^{134957477094400} is an apocalyptic number.

134957477094400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

134957477094400 is the 11617120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134957477094400

134957477094400 is an abundant number, since it is smaller than the sum of its proper divisors (220492713326787).

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

134957477094400 is an frugal number, since it uses more digits than its factorization.

134957477094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8606 (or 4295 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 64.

134957477094400 divided by its sum of digits (64) gives a square (2108710579600 = 1452140²).

The spelling of 134957477094400 in words is "one hundred thirty-four trillion, nine hundred fifty-seven billion, four hundred seventy-seven million, ninety-four thousand, four hundred".