150237884160 has 2304 divisors, whose sum is σ = 717332152320. Its totient is φ = 28904325120.

The previous prime is 150237884143. The next prime is 150237884177. The reversal of 150237884160 is 61488732051.

150237884160 is a `hidden beast` number, since 1 + 502 + 3 + 7 + 8 + 84 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (150237884143) and next prime (150237884177).

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2242356447 + ... + 2242356513.

It is an arithmetic number, because the mean of its divisors is an integer number (311342080).

Almost surely, 2^150237884160 is an apocalyptic number.

150237884160 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 150237884160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358666076160).

150237884160 is an abundant number, since it is smaller than the sum of its proper divisors (567094268160).

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

150237884160 is a wasteful number, since it uses less digits than its factorization.

150237884160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 150237884160 in words is "one hundred fifty billion, two hundred thirty-seven million, eight hundred eighty-four thousand, one hundred sixty".