150967152 has 210 divisors, whose sum is σ = 513124152. Its totient is φ = 42130368.

The previous prime is 150967121. The next prime is 150967153. The reversal of 150967152 is 251769051.

It is a super-2 number, since 2×150967152² = 45582161965982208, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150967153) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 3510843 + ... + 3510885.

Almost surely, 2^150967152 is an apocalyptic number.

150967152 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 150967152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256562076).

150967152 is an abundant number, since it is smaller than the sum of its proper divisors (362157000).

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

150967152 is an frugal number, since it uses more digits than its factorization.

150967152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 150967152 is about 12286.8690885840. The cubic root of 150967152 is about 532.4687861093.

The spelling of 150967152 in words is "one hundred fifty million, nine hundred sixty-seven thousand, one hundred fifty-two".