147107664 has 200 divisors, whose sum is σ = 492611328. Its totient is φ = 41886720.

The previous prime is 147107651. The next prime is 147107677. The reversal of 147107664 is 466701741.

It is an interprime number because it is at equal distance from previous prime (147107651) and next prime (147107677).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 242049 + ... + 242655.

Almost surely, 2^147107664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147107664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246305664).

147107664 is an abundant number, since it is smaller than the sum of its proper divisors (345503664).

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

147107664 is a wasteful number, since it uses less digits than its factorization.

147107664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 147107664 is about 12128.7948288360. The cubic root of 147107664 is about 527.8920233747.

The spelling of 147107664 in words is "one hundred forty-seven million, one hundred seven thousand, six hundred sixty-four".