150415987225 has 45 divisors (see below), whose sum is σ = 217726388063. Its totient is φ = 103077234960.

The previous prime is 150415987177. The next prime is 150415987229. The reversal of 150415987225 is 522789514051.

The square root of 150415987225 is 387835.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 54149755401 + 96266231824 = 232701^2 + 310268^2 .

It is not a de Polignac number, because 150415987225 - 2²⁷ = 150281769497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (150415987229) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 95018784 + ... + 95020366.

Almost surely, 2^150415987225 is an apocalyptic number.

150415987225 is the 387835-th square number.

150415987225 is the 193918-th centered octagonal number.

It is an amenable number.

150415987225 is a deficient number, since it is larger than the sum of its proper divisors (67310400838).

150415987225 is an frugal number, since it uses more digits than its factorization.

150415987225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3204 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 49.

Multiplying 150415987225 by its sum of digits (49), we get a square (7370383374025 = 2714845²).

150415987225 divided by its sum of digits (49) gives a square (3069714025 = 55405²).

The spelling of 150415987225 in words is "one hundred fifty billion, four hundred fifteen million, nine hundred eighty-seven thousand, two hundred twenty-five".