145903680 has 280 divisors, whose sum is σ = 560219352. Its totient is φ = 35831808.

The previous prime is 145903649. The next prime is 145903699. The reversal of 145903680 is 86309541.

145903680 is a `hidden beast` number, since 1 + 4 + 590 + 3 + 68 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1327104 + 144576576 = 1152^2 + 12024^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 336744 + ... + 337176.

Almost surely, 2^145903680 is an apocalyptic number.

145903680 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 145903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280109676).

145903680 is an abundant number, since it is smaller than the sum of its proper divisors (414315672).

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

145903680 is a wasteful number, since it uses less digits than its factorization.

145903680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 145903680 is about 12079.0595660424. The cubic root of 145903680 is about 526.4479214079.

The spelling of 145903680 in words is "one hundred forty-five million, nine hundred three thousand, six hundred eighty".