150613632 has 192 divisors, whose sum is σ = 476166600. Its totient is φ = 45416448.

The previous prime is 150613613. The next prime is 150613657. The reversal of 150613632 is 236316051.

150613632 is a `hidden beast` number, since 15 + 0 + 6 + 13 + 632 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33454656 + 117158976 = 5784^2 + 10824^2 .

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

It is a super-2 number, since 2×150613632² = 45368932288462848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 150613596 and 150613605.

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, 1332808 + ... + 1332920.

Almost surely, 2^150613632 is an apocalyptic number.

150613632 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 150613632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238083300).

150613632 is an abundant number, since it is smaller than the sum of its proper divisors (325552968).

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

150613632 is a wasteful number, since it uses less digits than its factorization.

150613632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 150613632 is about 12272.4745670953. The cubic root of 150613632 is about 532.0528336169.

Adding to 150613632 its reverse (236316051), we get a palindrome (386929683).

The spelling of 150613632 in words is "one hundred fifty million, six hundred thirteen thousand, six hundred thirty-two".