135374904 has 96 divisors (see below), whose sum is σ = 422903520. Its totient is φ = 38320128.

The previous prime is 135374903. The next prime is 135374917. The reversal of 135374904 is 409473531.

135374904 is a `hidden beast` number, since 135 + 37 + 490 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135374903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55764 + ... + 58140.

It is an arithmetic number, because the mean of its divisors is an integer number (4405245).

Almost surely, 2^135374904 is an apocalyptic number.

135374904 is a gapful number since it is divisible by the number (14) 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 135374904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211451760).

135374904 is an abundant number, since it is smaller than the sum of its proper divisors (287528616).

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

135374904 is a wasteful number, since it uses less digits than its factorization.

135374904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509 (or 2502 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 135374904 is about 11635.0721527630. The cubic root of 135374904 is about 513.4672168167.

The spelling of 135374904 in words is "one hundred thirty-five million, three hundred seventy-four thousand, nine hundred four".