154154390625 has 105 divisors (see below), whose sum is σ = 288673472901. Its totient is φ = 81980100000.

The previous prime is 154154390623. The next prime is 154154390659. The reversal of 154154390625 is 526093451451.

It is a happy number.

The square root of 154154390625 is 392625.

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

154154390625 is a `hidden beast` number, since 1 + 5 + 4 + 15 + 4 + 3 + 9 + 0 + 625 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 149094060129 + 5060330496 = 386127^2 + 71136^2 .

It is not a de Polignac number, because 154154390625 - 2¹ = 154154390623 is a prime.

It is a super-2 number, since 2×154154390625² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (154154390623) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 441702951 + ... + 441703299.

Almost surely, 2^154154390625 is an apocalyptic number.

154154390625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

154154390625 is the 392625-th square number.

154154390625 is the 196313-rd centered octagonal number.

It is an amenable number.

154154390625 is a deficient number, since it is larger than the sum of its proper divisors (134519082276).

154154390625 is an frugal number, since it uses more digits than its factorization.

154154390625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 154154390625 in words is "one hundred fifty-four billion, one hundred fifty-four million, three hundred ninety thousand, six hundred twenty-five".