153408060 has 216 divisors, whose sum is σ = 529719120. Its totient is φ = 36840960.

The previous prime is 153408053. The next prime is 153408077. The reversal of 153408060 is 60804351.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3741640 + ... + 3741680.

Almost surely, 2^153408060 is an apocalyptic number.

153408060 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 153408060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264859560).

153408060 is an abundant number, since it is smaller than the sum of its proper divisors (376311060).

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

153408060 is a wasteful number, since it uses less digits than its factorization.

153408060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 153408060 is about 12385.8007411713. The cubic root of 153408060 is about 535.3231924984.

The spelling of 153408060 in words is "one hundred fifty-three million, four hundred eight thousand, sixty".