149897664 has 252 divisors, whose sum is σ = 514953504. Its totient is φ = 41545728.

The previous prime is 149897663. The next prime is 149897677. The reversal of 149897664 is 466798941.

149897664 is a `hidden beast` number, since 1 + 498 + 97 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (2612736) is a multiple of the sum of its prime factors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 149897664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149897663) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1326472 + ... + 1326584.

Almost surely, 2^149897664 is an apocalyptic number.

149897664 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 149897664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257476752).

149897664 is an abundant number, since it is smaller than the sum of its proper divisors (365055840).

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

149897664 is a wasteful number, since it uses less digits than its factorization.

149897664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 172 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 149897664 is about 12243.2701513934. The cubic root of 149897664 is about 531.2084257385.

The spelling of 149897664 in words is "one hundred forty-nine million, eight hundred ninety-seven thousand, six hundred sixty-four".