151525225200 has 360 divisors, whose sum is σ = 503780724720. Its totient is φ = 38907596800.

The previous prime is 151525225193. The next prime is 151525225213. The reversal of 151525225200 is 2522525151.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 563290666 + ... + 563290934.

It is an arithmetic number, because the mean of its divisors is an integer number (1399390902).

Almost surely, 2^151525225200 is an apocalyptic number.

151525225200 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 151525225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251890362360).

151525225200 is an abundant number, since it is smaller than the sum of its proper divisors (352255499520).

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

151525225200 is a wasteful number, since it uses less digits than its factorization.

151525225200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 30.

The spelling of 151525225200 in words is "one hundred fifty-one billion, five hundred twenty-five million, two hundred twenty-five thousand, two hundred".