149952792 has 64 divisors (see below), whose sum is σ = 410054400. Its totient is φ = 45319040.

The previous prime is 149952779. The next prime is 149952793. The reversal of 149952792 is 297259941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149952793) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178309 + ... + 179147.

It is an arithmetic number, because the mean of its divisors is an integer number (6407100).

Almost surely, 2^149952792 is an apocalyptic number.

149952792 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 149952792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205027200).

149952792 is an abundant number, since it is smaller than the sum of its proper divisors (260101608).

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

149952792 is a wasteful number, since it uses less digits than its factorization.

149952792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 1532 counting only the distinct ones).

The product of its digits is 408240, while the sum is 48.

The square root of 149952792 is about 12245.5213037257. The cubic root of 149952792 is about 531.2735387586.

The spelling of 149952792 in words is "one hundred forty-nine million, nine hundred fifty-two thousand, seven hundred ninety-two".