152311211604100 has 72 divisors (see below), whose sum is σ = 338632320581856. Its totient is φ = 59428753440000.

The previous prime is 152311211604073. The next prime is 152311211604127. The reversal of 152311211604100 is 1406112113251.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (152311211604073) and next prime (152311211604127).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21923595 + ... + 28022605.

It is an arithmetic number, because the mean of its divisors is an integer number (4703226674748).

Almost surely, 2^{152311211604100} is an apocalyptic number.

152311211604100 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 152311211604100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169316160290928).

152311211604100 is an abundant number, since it is smaller than the sum of its proper divisors (186321108977756).

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

152311211604100 is a wasteful number, since it uses less digits than its factorization.

152311211604100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6105157 (or 6105150 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

Adding to 152311211604100 its reverse (1406112113251), we get a palindrome (153717323717351).

The spelling of 152311211604100 in words is "one hundred fifty-two trillion, three hundred eleven billion, two hundred eleven million, six hundred four thousand, one hundred".