150553872 has 180 divisors, whose sum is σ = 516388080. Its totient is φ = 40715136.

The previous prime is 150553849. The next prime is 150553873. The reversal of 150553872 is 278355051.

150553872 is a `hidden beast` number, since 1 + 50 + 5 + 538 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (150553873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 133503 + ... + 134625.

Almost surely, 2^150553872 is an apocalyptic number.

150553872 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 150553872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258194040).

150553872 is an abundant number, since it is smaller than the sum of its proper divisors (365834208).

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

150553872 is a wasteful number, since it uses less digits than its factorization.

150553872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 150553872 is about 12270.0396087380. The cubic root of 150553872 is about 531.9824555618.

The spelling of 150553872 in words is "one hundred fifty million, five hundred fifty-three thousand, eight hundred seventy-two".