146957254179840 has 1584 divisors, whose sum is σ = 605457694846368. Its totient is φ = 34045377380352.

The previous prime is 146957254179833. The next prime is 146957254179859. The reversal of 146957254179840 is 48971452759641.

It is a happy number.

146957254179840 is a `hidden beast` number, since 1 + 4 + 6 + 9 + 5 + 7 + 2 + 541 + 79 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3574451124 + ... + 3574492236.

Almost surely, 2^{146957254179840} is an apocalyptic number.

146957254179840 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 146957254179840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302728847423184).

146957254179840 is an abundant number, since it is smaller than the sum of its proper divisors (458500440666528).

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

146957254179840 is a wasteful number, since it uses less digits than its factorization.

146957254179840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41196 (or 41153 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 146957254179840 in words is "one hundred forty-six trillion, nine hundred fifty-seven billion, two hundred fifty-four million, one hundred seventy-nine thousand, eight hundred forty".