150277680 has 200 divisors, whose sum is σ = 596679072. Its totient is φ = 34338816.

The previous prime is 150277679. The next prime is 150277691. The reversal of 150277680 is 86772051.

150277680 is a `hidden beast` number, since 1 + 502 + 7 + 76 + 80 = 666.

It is a super-2 number, since 2×150277680² = 45166762212364800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 43704 + ... + 47016.

Almost surely, 2^150277680 is an apocalyptic number.

150277680 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 150277680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298339536).

150277680 is an abundant number, since it is smaller than the sum of its proper divisors (446401392).

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

150277680 is a wasteful number, since it uses less digits than its factorization.

150277680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3345 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 150277680 is about 12258.7797108848. The cubic root of 150277680 is about 531.6569480747.

The spelling of 150277680 in words is "one hundred fifty million, two hundred seventy-seven thousand, six hundred eighty".