152826880 has 88 divisors (see below), whose sum is σ = 386146080. Its totient is φ = 57876480.

The previous prime is 152826871. The next prime is 152826893. The reversal of 152826880 is 88628251.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 96495 + ... + 98065.

Almost surely, 2^152826880 is an apocalyptic number.

152826880 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 152826880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193073040).

152826880 is an abundant number, since it is smaller than the sum of its proper divisors (233319200).

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

152826880 is a wasteful number, since it uses less digits than its factorization.

152826880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The square root of 152826880 is about 12362.3169349439. The cubic root of 152826880 is about 534.6463205242.

The spelling of 152826880 in words is "one hundred fifty-two million, eight hundred twenty-six thousand, eight hundred eighty".