145153764 has 72 divisors (see below), whose sum is σ = 422630208. Its totient is φ = 41146560.

The previous prime is 145153763. The next prime is 145153777. The reversal of 145153764 is 467351541.

145153764 is a `hidden beast` number, since 14 + 51 + 537 + 64 = 666.

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 (145153763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30814 + ... + 35210.

It is an arithmetic number, because the mean of its divisors is an integer number (5869864).

Almost surely, 2^145153764 is an apocalyptic number.

145153764 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 145153764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211315104).

145153764 is an abundant number, since it is smaller than the sum of its proper divisors (277476444).

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

145153764 is a wasteful number, since it uses less digits than its factorization.

145153764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4545 (or 4540 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 145153764 is about 12047.9775896206. The cubic root of 145153764 is about 525.5444257108.

The spelling of 145153764 in words is "one hundred forty-five million, one hundred fifty-three thousand, seven hundred sixty-four".