152888820100 has 81 divisors (see below), whose sum is σ = 337823757453. Its totient is φ = 60059136000.

The previous prime is 152888820043. The next prime is 152888820103. The reversal of 152888820100 is 1028888251.

It is a happy number.

The square root of 152888820100 is 391010.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 116776659076 + 36112161024 = 341726^2 + 190032^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (152888820103) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 238515780 + ... + 238516420.

Almost surely, 2^152888820100 is an apocalyptic number.

152888820100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

152888820100 is the 391010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152888820100

152888820100 is an abundant number, since it is smaller than the sum of its proper divisors (184934937353).

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

152888820100 is an frugal number, since it uses more digits than its factorization.

152888820100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 43.

It can be divided in two parts, 15288 and 8820100, that added together give a palindrome (8835388).

The spelling of 152888820100 in words is "one hundred fifty-two billion, eight hundred eighty-eight million, eight hundred twenty thousand, one hundred".