134875238400 has 1560 divisors, whose sum is σ = 601707452544. Its totient is φ = 29196288000.

The previous prime is 134875238389. The next prime is 134875238461. The reversal of 134875238400 is 4832578431.

134875238400 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 7 + 5 + 238 + 400 = 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 119 ways as a sum of consecutive naturals, for example, 1335398350 + ... + 1335398450.

Almost surely, 2^134875238400 is an apocalyptic number.

134875238400 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 134875238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300853726272).

134875238400 is an abundant number, since it is smaller than the sum of its proper divisors (466832214144).

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

134875238400 is a wasteful number, since it uses less digits than its factorization.

134875238400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 134875238400 in words is "one hundred thirty-four billion, eight hundred seventy-five million, two hundred thirty-eight thousand, four hundred".