149633064 has 192 divisors, whose sum is σ = 484848000. Its totient is φ = 41658624.

The previous prime is 149633039. The next prime is 149633111. The reversal of 149633064 is 460336941.

149633064 is a `hidden beast` number, since 14 + 9 + 633 + 0 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1802767 + ... + 1802849.

It is an arithmetic number, because the mean of its divisors is an integer number (2525250).

Almost surely, 2^149633064 is an apocalyptic number.

149633064 is a gapful number since it is divisible by the number (14) 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 149633064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242424000).

149633064 is an abundant number, since it is smaller than the sum of its proper divisors (335214936).

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

149633064 is a wasteful number, since it uses less digits than its factorization.

149633064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 149633064 is about 12232.4594419928. The cubic root of 149633064 is about 530.8956778471.

The spelling of 149633064 in words is "one hundred forty-nine million, six hundred thirty-three thousand, sixty-four".