149857560 has 256 divisors, whose sum is σ = 538560000. Its totient is φ = 36951552.

The previous prime is 149857523. The next prime is 149857607. The reversal of 149857560 is 65758941.

149857560 is a `hidden beast` number, since 1 + 4 + 9 + 85 + 7 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 1374786 + ... + 1374894.

It is an arithmetic number, because the mean of its divisors is an integer number (2103750).

Almost surely, 2^149857560 is an apocalyptic number.

149857560 is a gapful number since it is divisible by the number (10) 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 149857560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269280000).

149857560 is an abundant number, since it is smaller than the sum of its proper divisors (388702440).

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

149857560 is a wasteful number, since it uses less digits than its factorization.

149857560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 149857560 is about 12241.6322441086. The cubic root of 149857560 is about 531.1610478980.

The spelling of 149857560 in words is "one hundred forty-nine million, eight hundred fifty-seven thousand, five hundred sixty".