150777120 has 192 divisors, whose sum is σ = 520055424. Its totient is φ = 36495360.

The previous prime is 150777101. The next prime is 150777127. The reversal of 150777120 is 21777051.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (150777127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 455355 + ... + 455685.

It is an arithmetic number, because the mean of its divisors is an integer number (2708622).

Almost surely, 2^150777120 is an apocalyptic number.

150777120 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 150777120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260027712).

150777120 is an abundant number, since it is smaller than the sum of its proper divisors (369278304).

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

150777120 is a wasteful number, since it uses less digits than its factorization.

150777120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 3430, while the sum is 30.

The square root of 150777120 is about 12279.1335199191. The cubic root of 150777120 is about 532.2452748063.

The spelling of 150777120 in words is "one hundred fifty million, seven hundred seventy-seven thousand, one hundred twenty".