145364292 has 36 divisors (see below), whose sum is σ = 368216940. Its totient is φ = 48353472.

The previous prime is 145364287. The next prime is 145364293. The reversal of 145364292 is 292463541.

It is a happy number.

145364292 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 642 + 9 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 81108036 + 64256256 = 9006^2 + 8016^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×145364292² = 42261554777322528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (145364293) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14358 + ... + 22290.

Almost surely, 2^145364292 is an apocalyptic number.

145364292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145364292 is an abundant number, since it is smaller than the sum of its proper divisors (222852648).

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

145364292 is a wasteful number, since it uses less digits than its factorization.

145364292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8452 (or 8447 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 145364292 is about 12056.7114919451. The cubic root of 145364292 is about 525.7983825403.

The spelling of 145364292 in words is "one hundred forty-five million, three hundred sixty-four thousand, two hundred ninety-two".