365141952 has 112 divisors (see below), whose sum is σ = 1226840320. Its totient is φ = 104322816.

The previous prime is 365141947. The next prime is 365141971. The reversal of 365141952 is 259141563.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×365141952² = 266657290220740608, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 2998 + ... + 27189.

Almost surely, 2^365141952 is an apocalyptic number.

365141952 is a gapful number since it is divisible by the number (32) 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 365141952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613420160).

365141952 is an abundant number, since it is smaller than the sum of its proper divisors (861698368).

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

365141952 is a wasteful number, since it uses less digits than its factorization.

365141952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30215 (or 30199 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 365141952 is about 19108.6878670410. The cubic root of 365141952 is about 714.7495835207.

The spelling of 365141952 in words is "three hundred sixty-five million, one hundred forty-one thousand, nine hundred fifty-two".