153124080 has 80 divisors (see below), whose sum is σ = 479460384. Its totient is φ = 40422400.

The previous prime is 153124079. The next prime is 153124129. The reversal of 153124080 is 80421351.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 153124080.

It is a congruent number.

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, 21082 + ... + 27398.

Almost surely, 2^153124080 is an apocalyptic number.

153124080 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 153124080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239730192).

153124080 is an abundant number, since it is smaller than the sum of its proper divisors (326336304).

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

153124080 is a wasteful number, since it uses less digits than its factorization.

153124080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6434 (or 6428 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 153124080 is about 12374.3314970951. The cubic root of 153124080 is about 534.9926688371.

The spelling of 153124080 in words is "one hundred fifty-three million, one hundred twenty-four thousand, eighty".