150157360 has 80 divisors (see below), whose sum is σ = 367610400. Its totient is φ = 56956928.

The previous prime is 150157351. The next prime is 150157369. The reversal of 150157360 is 63751051.

It is an interprime number because it is at equal distance from previous prime (150157351) and next prime (150157369).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (150157369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136332 + ... + 137428.

It is an arithmetic number, because the mean of its divisors is an integer number (4595130).

Almost surely, 2^150157360 is an apocalyptic number.

150157360 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 150157360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183805200).

150157360 is an abundant number, since it is smaller than the sum of its proper divisors (217453040).

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

150157360 is a wasteful number, since it uses less digits than its factorization.

150157360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 28.

The square root of 150157360 is about 12253.8712250456. The cubic root of 150157360 is about 531.5150196041.

The spelling of 150157360 in words is "one hundred fifty million, one hundred fifty-seven thousand, three hundred sixty".