150792192 has 168 divisors, whose sum is σ = 456535170. Its totient is φ = 49766400.

The previous prime is 150792179. The next prime is 150792197. The reversal of 150792192 is 291297051.

It can be written as a sum of positive squares in only one way, i.e., 90326016 + 60466176 = 9504^2 + 7776^2 .

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

It is not an unprimeable number, because it can be changed into a prime (150792197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1492942 + ... + 1493042.

Almost surely, 2^150792192 is an apocalyptic number.

150792192 is a gapful number since it is divisible by the number (12) 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 150792192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228267585).

150792192 is an abundant number, since it is smaller than the sum of its proper divisors (305742978).

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

150792192 is an frugal number, since it uses more digits than its factorization.

150792192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 150792192 is about 12279.7472286688. The cubic root of 150792192 is about 532.2630090034.

It can be divided in two parts, 15079 and 2192, that added together give a palindrome (17271).

The spelling of 150792192 in words is "one hundred fifty million, seven hundred ninety-two thousand, one hundred ninety-two".