153088020 has 72 divisors (see below), whose sum is σ = 466425960. Its totient is φ = 40642560.

The previous prime is 153088007. The next prime is 153088049. The reversal of 153088020 is 20880351.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7064964 + 146023056 = 2658^2 + 12084^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41616 + ... + 45144.

Almost surely, 2^153088020 is an apocalyptic number.

153088020 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 153088020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233212980).

153088020 is an abundant number, since it is smaller than the sum of its proper divisors (313337940).

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

153088020 is a wasteful number, since it uses less digits than its factorization.

153088020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3785 (or 3780 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 153088020 is about 12372.8743628956. The cubic root of 153088020 is about 534.9506694551.

The spelling of 153088020 in words is "one hundred fifty-three million, eighty-eight thousand, twenty".