152251117700 has 108 divisors (see below), whose sum is σ = 384512678676. Its totient is φ = 52107264000.

The previous prime is 152251117693. The next prime is 152251117703. The reversal of 152251117700 is 7711152251.

152251117700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1866931264 + 150384186436 = 43208^2 + 387794^2 .

It is not an unprimeable number, because it can be changed into a prime (152251117703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 164381 + ... + 575780.

Almost surely, 2^152251117700 is an apocalyptic number.

152251117700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152251117700 is an abundant number, since it is smaller than the sum of its proper divisors (232261560976).

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

152251117700 is a wasteful number, since it uses less digits than its factorization.

152251117700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740214 (or 740196 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 32.

Adding to 152251117700 its reverse (7711152251), we get a palindrome (159962269951).

The spelling of 152251117700 in words is "one hundred fifty-two billion, two hundred fifty-one million, one hundred seventeen thousand, seven hundred".