147364 has 24 divisors (see below), whose sum is σ = 311360. Its totient is φ = 59616.

The previous prime is 147353. The next prime is 147377. The reversal of 147364 is 463741.

It is a super-2 number, since 2×147364² = 43432296992, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 394 + ... + 670.

2¹⁴⁷³⁶⁴ is an apocalyptic number.

147364 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 147364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155680).

147364 is an abundant number, since it is smaller than the sum of its proper divisors (163996).

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

147364 is a wasteful number, since it uses less digits than its factorization.

147364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 305 counting only the distinct ones).

The product of its digits is 2016, while the sum is 25.

The square root of 147364 is about 383.8801896425. The cubic root of 147364 is about 52.8198463807.

The spelling of 147364 in words is "one hundred forty-seven thousand, three hundred sixty-four".