145545840 has 480 divisors, whose sum is σ = 601675776. Its totient is φ = 31088640.

The previous prime is 145545839. The next prime is 145545877. The reversal of 145545840 is 48545541.

It is a happy number.

145545840 is a `hidden beast` number, since 14 + 554 + 58 + 40 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 145545795 and 145545804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3096697 + ... + 3096743.

Almost surely, 2^145545840 is an apocalyptic number.

145545840 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 145545840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300837888).

145545840 is an abundant number, since it is smaller than the sum of its proper divisors (456129936).

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

145545840 is a wasteful number, since it uses less digits than its factorization.

145545840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The square root of 145545840 is about 12064.2380613116. The cubic root of 145545840 is about 526.0171844010.

The spelling of 145545840 in words is "one hundred forty-five million, five hundred forty-five thousand, eight hundred forty".