133975517400 has 192 divisors, whose sum is σ = 461934720000. Its totient is φ = 35690924160.

The previous prime is 133975517257. The next prime is 133975517411. The reversal of 133975517400 is 4715579331.

133975517400 is a `hidden beast` number, since 1 + 3 + 3 + 97 + 5 + 517 + 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 47 ways as a sum of consecutive naturals, for example, 5598661 + ... + 5622539.

It is an arithmetic number, because the mean of its divisors is an integer number (2405910000).

Almost surely, 2^133975517400 is an apocalyptic number.

133975517400 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 133975517400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230967360000).

133975517400 is an abundant number, since it is smaller than the sum of its proper divisors (327959202600).

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

133975517400 is a wasteful number, since it uses less digits than its factorization.

133975517400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24943 (or 24928 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The spelling of 133975517400 in words is "one hundred thirty-three billion, nine hundred seventy-five million, five hundred seventeen thousand, four hundred".