152098560 has 252 divisors, whose sum is σ = 549586632. Its totient is φ = 40310784.

The previous prime is 152098549. The next prime is 152098567. The reversal of 152098560 is 65890251.

It is a happy number.

152098560 is a `hidden beast` number, since 1 + 5 + 2 + 0 + 98 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152098567) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 933039 + ... + 933201.

Almost surely, 2^152098560 is an apocalyptic number.

152098560 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 152098560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274793316).

152098560 is an abundant number, since it is smaller than the sum of its proper divisors (397488072).

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

152098560 is an frugal number, since it uses more digits than its factorization.

152098560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 152098560 is about 12332.8244940079. The cubic root of 152098560 is about 533.7956546753.

The spelling of 152098560 in words is "one hundred fifty-two million, ninety-eight thousand, five hundred sixty".