149593752 has 192 divisors, whose sum is σ = 511580160. Its totient is φ = 38681280.

The previous prime is 149593751. The next prime is 149593753. The reversal of 149593752 is 257395941.

It is a happy number.

149593752 is a `hidden beast` number, since 1 + 4 + 9 + 593 + 7 + 52 = 666.

149593752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (149593751) and next prime (149593753).

It is a junction number, because it is equal to n+sod(n) for n = 149593698 and 149593707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149593751) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 670713 + ... + 670935.

It is an arithmetic number, because the mean of its divisors is an integer number (2664480).

Almost surely, 2^149593752 is an apocalyptic number.

149593752 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 149593752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255790080).

149593752 is an abundant number, since it is smaller than the sum of its proper divisors (361986408).

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

149593752 is a wasteful number, since it uses less digits than its factorization.

149593752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 246 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The square root of 149593752 is about 12230.8524641580. The cubic root of 149593752 is about 530.8491809960.

The spelling of 149593752 in words is "one hundred forty-nine million, five hundred ninety-three thousand, seven hundred fifty-two".