150511606100640 has 144 divisors (see below), whose sum is σ = 513624037549896. Its totient is φ = 40136179660800.

The previous prime is 150511606100627. The next prime is 150511606100683. The reversal of 150511606100640 is 46001606115051.

150511606100640 is a `hidden beast` number, since 1 + 5 + 0 + 5 + 1 + 1 + 6 + 0 + 6 + 1 + 0 + 0 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 144700401605904 + 5811204494736 = 12029148^2 + 2410644^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 150511606100595 and 150511606100604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 441651910 + ... + 441992570.

Almost surely, 2^{150511606100640} is an apocalyptic number.

150511606100640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150511606100640 is an abundant number, since it is smaller than the sum of its proper divisors (363112431449256).

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

150511606100640 is a wasteful number, since it uses less digits than its factorization.

150511606100640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647503 (or 647492 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 150511606100640 in words is "one hundred fifty trillion, five hundred eleven billion, six hundred six million, one hundred thousand, six hundred forty".