150367680 has 168 divisors, whose sum is σ = 523036800. Its totient is φ = 39647232.

The previous prime is 150367661. The next prime is 150367687. The reversal of 150367680 is 86763051.

150367680 is a `hidden beast` number, since 1 + 503 + 6 + 76 + 80 = 666.

150367680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×150367680² = 45220878377164800, 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 (150367687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 313681 + ... + 314159.

Almost surely, 2^150367680 is an apocalyptic number.

150367680 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 150367680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261518400).

150367680 is an abundant number, since it is smaller than the sum of its proper divisors (372669120).

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

150367680 is a wasteful number, since it uses less digits than its factorization.

150367680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 150367680 is about 12262.4499998981. The cubic root of 150367680 is about 531.7630618067.

The spelling of 150367680 in words is "one hundred fifty million, three hundred sixty-seven thousand, six hundred eighty".