145761504 has 96 divisors (see below), whose sum is σ = 451454976. Its totient is φ = 40296960.

The previous prime is 145761503. The next prime is 145761527. The reversal of 145761504 is 405167541.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145761503) 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, 17334 + ... + 24330.

It is an arithmetic number, because the mean of its divisors is an integer number (4702656).

Almost surely, 2^145761504 is an apocalyptic number.

145761504 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 145761504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225727488).

145761504 is an abundant number, since it is smaller than the sum of its proper divisors (305693472).

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

145761504 is a wasteful number, since it uses less digits than its factorization.

145761504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7048 (or 7040 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 145761504 is about 12073.1729052474. The cubic root of 145761504 is about 526.2768665840.

The spelling of 145761504 in words is "one hundred forty-five million, seven hundred sixty-one thousand, five hundred four".