134956562400 has 1008 divisors, whose sum is σ = 546635794320. Its totient is φ = 32248627200.

The previous prime is 134956562353. The next prime is 134956562413. The reversal of 134956562400 is 4265659431.

134956562400 is a `hidden beast` number, since 1 + 3 + 49 + 5 + 6 + 562 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 699256704 + ... + 699256896.

It is an arithmetic number, because the mean of its divisors is an integer number (542297415).

Almost surely, 2^134956562400 is an apocalyptic number.

134956562400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134956562400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273317897160).

134956562400 is an abundant number, since it is smaller than the sum of its proper divisors (411679231920).

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

134956562400 is a wasteful number, since it uses less digits than its factorization.

134956562400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 134956562400 in words is "one hundred thirty-four billion, nine hundred fifty-six million, five hundred sixty-two thousand, four hundred".