150513552 has 200 divisors, whose sum is σ = 509895936. Its totient is φ = 41969664.

The previous prime is 150513527. The next prime is 150513569. The reversal of 150513552 is 255315051.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 426208 + ... + 426560.

Almost surely, 2^150513552 is an apocalyptic number.

150513552 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 150513552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254947968).

150513552 is an abundant number, since it is smaller than the sum of its proper divisors (359382384).

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

150513552 is a wasteful number, since it uses less digits than its factorization.

150513552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The square root of 150513552 is about 12268.3964722371. The cubic root of 150513552 is about 531.9349610505.

The spelling of 150513552 in words is "one hundred fifty million, five hundred thirteen thousand, five hundred fifty-two".