147313536 has 128 divisors (see below), whose sum is σ = 419913600. Its totient is φ = 45619200.

The previous prime is 147313513. The next prime is 147313541. The reversal of 147313536 is 635313741.

147313536 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 147313497 and 147313506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444891 + ... + 445221.

It is an arithmetic number, because the mean of its divisors is an integer number (3280575).

Almost surely, 2^147313536 is an apocalyptic number.

147313536 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 147313536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209956800).

147313536 is an abundant number, since it is smaller than the sum of its proper divisors (272600064).

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

147313536 is a wasteful number, since it uses less digits than its factorization.

147313536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 416 counting only the distinct ones).

The product of its digits is 22680, while the sum is 33.

The square root of 147313536 is about 12137.2787724432. The cubic root of 147313536 is about 528.1381640265.

The spelling of 147313536 in words is "one hundred forty-seven million, three hundred thirteen thousand, five hundred thirty-six".