133904400 has 240 divisors, whose sum is σ = 516633600. Its totient is φ = 28961280.

The previous prime is 133904383. The next prime is 133904417. The reversal of 133904400 is 4409331.

It is an interprime number because it is at equal distance from previous prime (133904383) and next prime (133904417).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 159181 + ... + 160019.

It is an arithmetic number, because the mean of its divisors is an integer number (2152640).

Almost surely, 2^133904400 is an apocalyptic number.

133904400 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 133904400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258316800).

133904400 is an abundant number, since it is smaller than the sum of its proper divisors (382729200).

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

133904400 is a wasteful number, since it uses less digits than its factorization.

133904400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 133904400 is about 11571.7068749601. The cubic root of 133904400 is about 511.6012724106.

The spelling of 133904400 in words is "one hundred thirty-three million, nine hundred four thousand, four hundred".