135157440 has 112 divisors (see below), whose sum is σ = 468172800. Its totient is φ = 32762880.

The previous prime is 135157433. The next prime is 135157501. The reversal of 135157440 is 44751531.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 135157398 and 135157407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4161 + ... + 16959.

Almost surely, 2^135157440 is an apocalyptic number.

135157440 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 135157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234086400).

135157440 is an abundant number, since it is smaller than the sum of its proper divisors (333015360).

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

135157440 is a wasteful number, since it uses less digits than its factorization.

135157440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12830 (or 12820 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 135157440 is about 11625.7232033108. The cubic root of 135157440 is about 513.1921277249.

The spelling of 135157440 in words is "one hundred thirty-five million, one hundred fifty-seven thousand, four hundred forty".