149515392 has 128 divisors (see below), whose sum is σ = 435597120. Its totient is φ = 45158400.

The previous prime is 149515369. The next prime is 149515403. The reversal of 149515392 is 293515941.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a zygodrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 149515392.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 304267 + ... + 304757.

Almost surely, 2^149515392 is an apocalyptic number.

149515392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

149515392 is the 9984-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149515392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217798560).

149515392 is an abundant number, since it is smaller than the sum of its proper divisors (286081728).

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

149515392 is a wasteful number, since it uses less digits than its factorization.

149515392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 570 counting only the distinct ones).

The product of its digits is 48600, while the sum is 39.

The square root of 149515392 is about 12227.6486701246. The cubic root of 149515392 is about 530.7564752367.

The spelling of 149515392 in words is "one hundred forty-nine million, five hundred fifteen thousand, three hundred ninety-two".