150995520 has 336 divisors, whose sum is σ = 579699120. Its totient is φ = 35831808.

The previous prime is 150995519. The next prime is 150995563. The reversal of 150995520 is 25599051.

150995520 is a `hidden beast` number, since 15 + 0 + 99 + 552 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 589824 + 150405696 = 768^2 + 12264^2 .

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

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1385226 + ... + 1385334.

It is an arithmetic number, because the mean of its divisors is an integer number (1725295).

Almost surely, 2^150995520 is an apocalyptic number.

150995520 is a gapful number since it is divisible by the number (10) 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 150995520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289849560).

150995520 is an abundant number, since it is smaller than the sum of its proper divisors (428703600).

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

150995520 is a wasteful number, since it uses less digits than its factorization.

150995520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 20250, while the sum is 36.

The square root of 150995520 is about 12288.0234374776. The cubic root of 150995520 is about 532.5021358110.

The spelling of 150995520 in words is "one hundred fifty million, nine hundred ninety-five thousand, five hundred twenty".