145313504 has 96 divisors (see below), whose sum is σ = 341288640. Its totient is φ = 59609088.

The previous prime is 145313503. The next prime is 145313521. The reversal of 145313504 is 405313541.

145313504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145313504² = 42232028889516032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145313503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 737534 + ... + 737730.

It is an arithmetic number, because the mean of its divisors is an integer number (3555090).

Almost surely, 2^145313504 is an apocalyptic number.

145313504 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 145313504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170644320).

145313504 is an abundant number, since it is smaller than the sum of its proper divisors (195975136).

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

145313504 is a wasteful number, since it uses less digits than its factorization.

145313504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 145313504 is about 12054.6050951493. The cubic root of 145313504 is about 525.7371401758.

The spelling of 145313504 in words is "one hundred forty-five million, three hundred thirteen thousand, five hundred four".