146531831040 has 432 divisors, whose sum is σ = 599400547200. Its totient is φ = 32337543168.

The previous prime is 146531831023. The next prime is 146531831087. The reversal of 146531831040 is 40138135641.

146531831040 is a `hidden beast` number, since 1 + 4 + 6 + 531 + 83 + 1 + 0 + 40 = 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 = 146531830986 and 146531831004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2307231 + ... + 2369889.

Almost surely, 2^146531831040 is an apocalyptic number.

146531831040 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 146531831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299700273600).

146531831040 is an abundant number, since it is smaller than the sum of its proper divisors (452868716160).

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

146531831040 is a wasteful number, since it uses less digits than its factorization.

146531831040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62722 (or 62705 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 146531831040 its reverse (40138135641), we get a palindrome (186669966681).

The spelling of 146531831040 in words is "one hundred forty-six billion, five hundred thirty-one million, eight hundred thirty-one thousand, forty".