147738864 has 160 divisors (see below), whose sum is σ = 474969600. Its totient is φ = 38532096.

The previous prime is 147738809. The next prime is 147738869. The reversal of 147738864 is 468837741.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147738869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 650719 + ... + 650945.

It is an arithmetic number, because the mean of its divisors is an integer number (2968560).

Almost surely, 2^147738864 is an apocalyptic number.

147738864 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 147738864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237484800).

147738864 is an abundant number, since it is smaller than the sum of its proper divisors (327230736).

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

147738864 is a wasteful number, since it uses less digits than its factorization.

147738864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 401 counting only the distinct ones).

The product of its digits is 903168, while the sum is 48.

The square root of 147738864 is about 12154.7876986807. The cubic root of 147738864 is about 528.6459610089.

The spelling of 147738864 in words is "one hundred forty-seven million, seven hundred thirty-eight thousand, eight hundred sixty-four".