146391623040 has 256 divisors, whose sum is σ = 505731683520. Its totient is φ = 35804381184.

The previous prime is 146391622889. The next prime is 146391623101. The reversal of 146391623040 is 40326193641.

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 146391623040.

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, 3900042 + ... + 3937398.

Almost surely, 2^146391623040 is an apocalyptic number.

146391623040 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 146391623040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252865841760).

146391623040 is an abundant number, since it is smaller than the sum of its proper divisors (359340060480).

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

146391623040 is a wasteful number, since it uses less digits than its factorization.

146391623040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37549 (or 37537 counting only the distinct ones).

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

The spelling of 146391623040 in words is "one hundred forty-six billion, three hundred ninety-one million, six hundred twenty-three thousand, forty".