150557568 has 128 divisors (see below), whose sum is σ = 463488000. Its totient is φ = 42412032.

The previous prime is 150557567. The next prime is 150557597. The reversal of 150557568 is 865755051.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150557567) 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, 211998 + ... + 212706.

It is an arithmetic number, because the mean of its divisors is an integer number (3621000).

Almost surely, 2^150557568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150557568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231744000).

150557568 is an abundant number, since it is smaller than the sum of its proper divisors (312930432).

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

150557568 is an equidigital number, since it uses as much as digits as its factorization.

150557568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 210000, while the sum is 42.

The square root of 150557568 is about 12270.1902185744. The cubic root of 150557568 is about 531.9868088010.

The spelling of 150557568 in words is "one hundred fifty million, five hundred fifty-seven thousand, five hundred sixty-eight".