153420904 has 128 divisors (see below), whose sum is σ = 376992000. Its totient is φ = 57238272.

The previous prime is 153420899. The next prime is 153420931. The reversal of 153420904 is 409024351.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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, 3567907 + ... + 3567949.

It is an arithmetic number, because the mean of its divisors is an integer number (2945250).

Almost surely, 2^153420904 is an apocalyptic number.

153420904 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 153420904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188496000).

153420904 is an abundant number, since it is smaller than the sum of its proper divisors (223571096).

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

153420904 is a wasteful number, since it uses less digits than its factorization.

153420904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 153420904 is about 12386.3192272765. The cubic root of 153420904 is about 535.3381319551.

The spelling of 153420904 in words is "one hundred fifty-three million, four hundred twenty thousand, nine hundred four".