153742080 has 72 divisors (see below), whose sum is σ = 491026032. Its totient is φ = 40996864.

The previous prime is 153742073. The next prime is 153742103. The reversal of 153742080 is 80247351.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16179 + ... + 23858.

It is an arithmetic number, because the mean of its divisors is an integer number (6819806).

Almost surely, 2^153742080 is an apocalyptic number.

153742080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153742080 is an abundant number, since it is smaller than the sum of its proper divisors (337283952).

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

153742080 is an equidigital number, since it uses as much as digits as its factorization.

153742080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40061 (or 40047 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 153742080 is about 12399.2773983003. The cubic root of 153742080 is about 535.7114359721.

The spelling of 153742080 in words is "one hundred fifty-three million, seven hundred forty-two thousand, eighty".