150739680 has 576 divisors, whose sum is σ = 651551040. Its totient is φ = 28901376.

The previous prime is 150739679. The next prime is 150739681. The reversal of 150739680 is 86937051.

It is an interprime number because it is at equal distance from previous prime (150739679) and next prime (150739681).

It is a super-2 number, since 2×150739680² = 45444902253004800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150739681) 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 95 ways as a sum of consecutive naturals, for example, 5197906 + ... + 5197934.

It is an arithmetic number, because the mean of its divisors is an integer number (1131165).

Almost surely, 2^150739680 is an apocalyptic number.

150739680 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 150739680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325775520).

150739680 is an abundant number, since it is smaller than the sum of its proper divisors (500811360).

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

150739680 is a wasteful number, since it uses less digits than its factorization.

150739680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 150739680 is about 12277.6088877273. The cubic root of 150739680 is about 532.2012165904.

It can be divided in two parts, 15073 and 9680, that added together give a triangular number (24753 = T₂₂₂).

The spelling of 150739680 in words is "one hundred fifty million, seven hundred thirty-nine thousand, six hundred eighty".