135754920 has 128 divisors (see below), whose sum is σ = 517190400. Its totient is φ = 31027968.

The previous prime is 135754873. The next prime is 135754939. The reversal of 135754920 is 29457531.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1419 + ... + 16538.

It is an arithmetic number, because the mean of its divisors is an integer number (4040550).

Almost surely, 2^135754920 is an apocalyptic number.

135754920 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 135754920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258595200).

135754920 is an abundant number, since it is smaller than the sum of its proper divisors (381435480).

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

135754920 is a wasteful number, since it uses less digits than its factorization.

135754920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17984 (or 17974 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 135754920 is about 11651.3913332271. The cubic root of 135754920 is about 513.9472256778.

The spelling of 135754920 in words is "one hundred thirty-five million, seven hundred fifty-four thousand, nine hundred twenty".