145961640 has 384 divisors, whose sum is σ = 566092800. Its totient is φ = 32256000.

The previous prime is 145961639. The next prime is 145961689. The reversal of 145961640 is 46169541.

145961640 is a `hidden beast` number, since 1 + 4 + 5 + 9 + 6 + 1 + 640 = 666.

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 = 145961595 and 145961604.

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, 3560020 + ... + 3560060.

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

Almost surely, 2^145961640 is an apocalyptic number.

145961640 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 145961640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283046400).

145961640 is an abundant number, since it is smaller than the sum of its proper divisors (420131160).

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

145961640 is a wasteful number, since it uses less digits than its factorization.

145961640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 122 counting only the distinct ones).

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

The square root of 145961640 is about 12081.4585212217. The cubic root of 145961640 is about 526.5176223732.

The spelling of 145961640 in words is "one hundred forty-five million, nine hundred sixty-one thousand, six hundred forty".