153965988225 has 243 divisors, whose sum is σ = 332994989691. Its totient is φ = 67804128000.

The previous prime is 153965988193. The next prime is 153965988257. The reversal of 153965988225 is 522889569351.

The square root of 153965988225 is 392385.

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

153965988225 is a `hidden beast` number, since 1 + 5 + 39 + 6 + 598 + 8 + 2 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (153965988193) and next prime (153965988257).

It can be written as a sum of positive squares in 13 ways, for example, as 1987643889 + 151978344336 = 44583^2 + 389844^2 .

It is not a de Polignac number, because 153965988225 - 2⁵ = 153965988193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1524415675 + ... + 1524415775.

Almost surely, 2^153965988225 is an apocalyptic number.

153965988225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

153965988225 is the 392385-th square number.

153965988225 is the 196193-rd centered octagonal number.

It is an amenable number.

153965988225 is an abundant number, since it is smaller than the sum of its proper divisors (179029001466).

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

153965988225 is a wasteful number, since it uses less digits than its factorization.

153965988225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 153 counting only the distinct ones).

The product of its digits is 46656000, while the sum is 63.

The spelling of 153965988225 in words is "one hundred fifty-three billion, nine hundred sixty-five million, nine hundred eighty-eight thousand, two hundred twenty-five".