150058224225 has 576 divisors, whose sum is σ = 369176371200. Its totient is φ = 56487352320.

The previous prime is 150058224161. The next prime is 150058224257. The reversal of 150058224225 is 522422850051.

150058224225 is a `hidden beast` number, since 1 + 50 + 0 + 582 + 2 + 4 + 2 + 25 = 666.

It is not a de Polignac number, because 150058224225 - 2⁶ = 150058224161 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 150058224225.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 530240934 + ... + 530241216.

It is an arithmetic number, because the mean of its divisors is an integer number (640931200).

Almost surely, 2^150058224225 is an apocalyptic number.

150058224225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

150058224225 is an abundant number, since it is smaller than the sum of its proper divisors (219118146975).

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

150058224225 is a wasteful number, since it uses less digits than its factorization.

150058224225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 150058224225 in words is "one hundred fifty billion, fifty-eight million, two hundred twenty-four thousand, two hundred twenty-five".