145731960 has 384 divisors, whose sum is σ = 566092800. Its totient is φ = 33384960.

The previous prime is 145731907. The next prime is 145731997. The reversal of 145731960 is 69137541.

145731960 is a `hidden beast` number, since 14 + 573 + 19 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3100657 + ... + 3100703.

It is an arithmetic number, because the mean of its divisors is an integer number (1474200).

Almost surely, 2^145731960 is an apocalyptic number.

145731960 is a gapful number since it is divisible by the number (10) 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 145731960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283046400).

145731960 is an abundant number, since it is smaller than the sum of its proper divisors (420360840).

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

145731960 is a wasteful number, since it uses less digits than its factorization.

145731960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 145731960 is about 12071.9493040685. The cubic root of 145731960 is about 526.2413076426.

The spelling of 145731960 in words is "one hundred forty-five million, seven hundred thirty-one thousand, nine hundred sixty".