147638016 has 108 divisors (see below), whose sum is σ = 429669240. Its totient is φ = 48752640.

The previous prime is 147637969. The next prime is 147638021. The reversal of 147638016 is 610836741.

147638016 is a `hidden beast` number, since 1 + 4 + 7 + 638 + 0 + 16 = 666.

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 11 ways as a sum of consecutive naturals, for example, 320026 + ... + 320486.

Almost surely, 2^147638016 is an apocalyptic number.

147638016 is a gapful number since it is divisible by the number (16) 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 147638016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214834620).

147638016 is an abundant number, since it is smaller than the sum of its proper divisors (282031224).

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

147638016 is a wasteful number, since it uses less digits than its factorization.

147638016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 147638016 is about 12150.6385017414. The cubic root of 147638016 is about 528.5256473201.

The spelling of 147638016 in words is "one hundred forty-seven million, six hundred thirty-eight thousand, sixteen".