150636672 has 192 divisors, whose sum is σ = 467812800. Its totient is φ = 48190464.

The previous prime is 150636649. The next prime is 150636691. The reversal of 150636672 is 276636051.

150636672 is a `hidden beast` number, since 15 + 0 + 636 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

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, 901933 + ... + 902099.

It is an arithmetic number, because the mean of its divisors is an integer number (2436525).

Almost surely, 2^150636672 is an apocalyptic number.

150636672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150636672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233906400).

150636672 is an abundant number, since it is smaller than the sum of its proper divisors (317176128).

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

150636672 is an equidigital number, since it uses as much as digits as its factorization.

150636672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 150636672 is about 12273.4132171943. The cubic root of 150636672 is about 532.0799623527.

The spelling of 150636672 in words is "one hundred fifty million, six hundred thirty-six thousand, six hundred seventy-two".