146631239040 has 256 divisors, whose sum is σ = 549099129600. Its totient is φ = 32812523520.

The previous prime is 146631239033. The next prime is 146631239077. The reversal of 146631239040 is 40932136641.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 146631239040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7531 + ... + 541589.

It is an arithmetic number, because the mean of its divisors is an integer number (2144918475).

Almost surely, 2^146631239040 is an apocalyptic number.

146631239040 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 146631239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274549564800).

146631239040 is an abundant number, since it is smaller than the sum of its proper divisors (402467890560).

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

146631239040 is a wasteful number, since it uses less digits than its factorization.

146631239040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534105 (or 534093 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 146631239040 in words is "one hundred forty-six billion, six hundred thirty-one million, two hundred thirty-nine thousand, forty".