150405696 has 189 divisors, whose sum is σ = 508460121. Its totient is φ = 42384384.

The previous prime is 150405649. The next prime is 150405709. The reversal of 150405696 is 696504051.

The square root of 150405696 is 12264.

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

150405696 is a `hidden beast` number, since 1 + 50 + 40 + 569 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 85377600 + 65028096 = 9240^2 + 8064^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 150405696.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2060316 + ... + 2060388.

Almost surely, 2^150405696 is an apocalyptic number.

150405696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

150405696 is the 12264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150405696

150405696 is an abundant number, since it is smaller than the sum of its proper divisors (358054425).

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

150405696 is an equidigital number, since it uses as much as digits as its factorization.

150405696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The cubic root of 150405696 is about 531.8078715273.

Multiplying 150405696 by its sum of digits (36), we get a square (5414605056 = 73584²).

150405696 divided by its sum of digits (36) gives a square (4177936 = 2044²).

Multiplying 150405696 by its product of nonzero digits (32400), we get a square (4873144550400 = 2207520²).

It can be divided in two parts, 15040 and 5696, that added together give a 4-th power (20736 = 12⁴).

The spelling of 150405696 in words is "one hundred fifty million, four hundred five thousand, six hundred ninety-six".