149827392 has 336 divisors, whose sum is σ = 539203392. Its totient is φ = 39075840.

The previous prime is 149827357. The next prime is 149827423. The reversal of 149827392 is 293728941.

149827392 is a `hidden beast` number, since 1 + 498 + 2 + 73 + 92 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1400203 + ... + 1400309.

It is an arithmetic number, because the mean of its divisors is an integer number (1604772).

Almost surely, 2^149827392 is an apocalyptic number.

149827392 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 149827392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269601696).

149827392 is an abundant number, since it is smaller than the sum of its proper divisors (389376000).

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

149827392 is a wasteful number, since it uses less digits than its factorization.

149827392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 153 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 149827392 is about 12240.3999934643. The cubic root of 149827392 is about 531.1254026228.

It can be divided in two parts, 149 and 827392, that added together give a triangular number (827541 = T₁₂₈₆).

The spelling of 149827392 in words is "one hundred forty-nine million, eight hundred twenty-seven thousand, three hundred ninety-two".