152636880 has 320 divisors, whose sum is σ = 578534400. Its totient is φ = 32808960.

The previous prime is 152636879. The next prime is 152636881. The reversal of 152636880 is 88636251.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (152636879) and next prime (152636881).

It is a super-2 number, since 2×152636880² = 46596034272268800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152636881) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 852631 + ... + 852809.

It is an arithmetic number, because the mean of its divisors is an integer number (1807920).

Almost surely, 2^152636880 is an apocalyptic number.

152636880 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 152636880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289267200).

152636880 is an abundant number, since it is smaller than the sum of its proper divisors (425897520).

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

152636880 is a wasteful number, since it uses less digits than its factorization.

152636880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 152636880 is about 12354.6299013771. The cubic root of 152636880 is about 534.4246646498.

The spelling of 152636880 in words is "one hundred fifty-two million, six hundred thirty-six thousand, eight hundred eighty".