135752400 has 180 divisors, whose sum is σ = 538498272. Its totient is φ = 31023360.

The previous prime is 135752399. The next prime is 135752411. The reversal of 135752400 is 4257531.

It is a happy number.

135752400 is a `hidden beast` number, since 135 + 7 + 524 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22507 + ... + 27893.

Almost surely, 2^135752400 is an apocalyptic number.

135752400 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 135752400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269249136).

135752400 is an abundant number, since it is smaller than the sum of its proper divisors (402745872).

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

135752400 is a wasteful number, since it uses less digits than its factorization.

135752400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5418 (or 5404 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 135752400 is about 11651.2831911339. The cubic root of 135752400 is about 513.9440455474.

The spelling of 135752400 in words is "one hundred thirty-five million, seven hundred fifty-two thousand, four hundred".