135415600 has 60 divisors (see below), whose sum is σ = 332944216. Its totient is φ = 52899840.

The previous prime is 135415543. The next prime is 135415619. The reversal of 135415600 is 6514531.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13264 + ... + 21136.

Almost surely, 2^135415600 is an apocalyptic number.

135415600 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 135415600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166472108).

135415600 is an abundant number, since it is smaller than the sum of its proper divisors (197528616).

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

135415600 is a wasteful number, since it uses less digits than its factorization.

135415600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7934 (or 7923 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 135415600 is about 11636.8208716986. The cubic root of 135415600 is about 513.5186639897.

The spelling of 135415600 in words is "one hundred thirty-five million, four hundred fifteen thousand, six hundred".