134197106400 has 1440 divisors, whose sum is σ = 615245621760. Its totient is φ = 27754721280.

The previous prime is 134197106399. The next prime is 134197106431. The reversal of 134197106400 is 4601791431.

134197106400 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 9 + 7 + 1 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×134197106400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 198222862 + ... + 198223538.

It is an arithmetic number, because the mean of its divisors is an integer number (427253904).

Almost surely, 2^134197106400 is an apocalyptic number.

134197106400 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 134197106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307622810880).

134197106400 is an abundant number, since it is smaller than the sum of its proper divisors (481048515360).

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

134197106400 is a wasteful number, since it uses less digits than its factorization.

134197106400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Adding to 134197106400 its reverse (4601791431), we get a palindrome (138798897831).

The spelling of 134197106400 in words is "one hundred thirty-four billion, one hundred ninety-seven million, one hundred six thousand, four hundred".