145737564 has 36 divisors (see below), whose sum is σ = 395574984. Its totient is φ = 41639136.

The previous prime is 145737521. The next prime is 145737577. The reversal of 145737564 is 465737541.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123339 + ... + 124514.

It is an arithmetic number, because the mean of its divisors is an integer number (10988194).

Almost surely, 2^145737564 is an apocalyptic number.

145737564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

145737564 is an abundant number, since it is smaller than the sum of its proper divisors (249837420).

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

145737564 is a wasteful number, since it uses less digits than its factorization.

145737564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247874 (or 247865 counting only the distinct ones).

The product of its digits is 352800, while the sum is 42.

The square root of 145737564 is about 12072.1814101678. The cubic root of 145737564 is about 526.2480529452.

It can be divided in two parts, 14 and 5737564, that added together give a triangular number (5737578 = T₃₃₈₇).

The spelling of 145737564 in words is "one hundred forty-five million, seven hundred thirty-seven thousand, five hundred sixty-four".