145384956 has 72 divisors (see below), whose sum is σ = 383086704. Its totient is φ = 48211200.

The previous prime is 145384949. The next prime is 145384961. The reversal of 145384956 is 659483541.

145384956 = T₂₁₃ + T₂₁₄ + ... + T₉₅₈.

It is a super-2 number, since 2×145384956² = 42273570862243872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 362356 + ... + 362756.

Almost surely, 2^145384956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145384956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191543352).

145384956 is an abundant number, since it is smaller than the sum of its proper divisors (237701748).

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

145384956 is a wasteful number, since it uses less digits than its factorization.

145384956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 779 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 145384956 is about 12057.5684115828. The cubic root of 145384956 is about 525.8232960015.

The spelling of 145384956 in words is "one hundred forty-five million, three hundred eighty-four thousand, nine hundred fifty-six".