133764400 has 240 divisors, whose sum is σ = 414044928. Its totient is φ = 40320000.

The previous prime is 133764391. The next prime is 133764409. The reversal of 133764400 is 4467331.

It is an interprime number because it is at equal distance from previous prime (133764391) and next prime (133764409).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (133764409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1324350 + ... + 1324450.

Almost surely, 2^133764400 is an apocalyptic number.

133764400 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 133764400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207022464).

133764400 is an abundant number, since it is smaller than the sum of its proper divisors (280280528).

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

133764400 is a wasteful number, since it uses less digits than its factorization.

133764400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 133764400 is about 11565.6560557540. The cubic root of 133764400 is about 511.4229134366.

The spelling of 133764400 in words is "one hundred thirty-three million, seven hundred sixty-four thousand, four hundred".