152369948200 has 96 divisors (see below), whose sum is σ = 363093010560. Its totient is φ = 59429926400.

The previous prime is 152369948191. The next prime is 152369948231. The reversal of 152369948200 is 2849963251.

It is a super-2 number, since 2×152369948200² (a number of 23 digits) contains 22 as substring.

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, 20848947 + ... + 20856253.

It is an arithmetic number, because the mean of its divisors is an integer number (3782218860).

Almost surely, 2^152369948200 is an apocalyptic number.

152369948200 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 152369948200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181546505280).

152369948200 is an abundant number, since it is smaller than the sum of its proper divisors (210723062360).

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

152369948200 is a wasteful number, since it uses less digits than its factorization.

152369948200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9907 (or 9898 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

The spelling of 152369948200 in words is "one hundred fifty-two billion, three hundred sixty-nine million, nine hundred forty-eight thousand, two hundred".