153151680 has 112 divisors (see below), whose sum is σ = 530498304. Its totient is φ = 37125120.

The previous prime is 153151643. The next prime is 153151693. The reversal of 153151680 is 86151351.

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

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, 3309 + ... + 17811.

It is an arithmetic number, because the mean of its divisors is an integer number (4736592).

Almost surely, 2^153151680 is an apocalyptic number.

153151680 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 153151680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265249152).

153151680 is an abundant number, since it is smaller than the sum of its proper divisors (377346624).

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

153151680 is a wasteful number, since it uses less digits than its factorization.

153151680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14534 (or 14524 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 153151680 is about 12375.4466586059. The cubic root of 153151680 is about 535.0248103322.

The spelling of 153151680 in words is "one hundred fifty-three million, one hundred fifty-one thousand, six hundred eighty".