146957605752240 has 560 divisors, whose sum is σ = 518878376658432. Its totient is φ = 38684730456576.

The previous prime is 146957605752187. The next prime is 146957605752277. The reversal of 146957605752240 is 42257506759641.

It is a happy number.

146957605752240 is a `hidden beast` number, since 1 + 4 + 6 + 9 + 5 + 7 + 60 + 5 + 7 + 522 + 40 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6210426649 + ... + 6210450311.

Almost surely, 2^{146957605752240} is an apocalyptic number.

146957605752240 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 146957605752240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259439188329216).

146957605752240 is an abundant number, since it is smaller than the sum of its proper divisors (371920770906192).

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

146957605752240 is a wasteful number, since it uses less digits than its factorization.

146957605752240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25060 (or 25039 counting only the distinct ones).

The product of its (nonzero) digits is 127008000, while the sum is 63.

The spelling of 146957605752240 in words is "one hundred forty-six trillion, nine hundred fifty-seven billion, six hundred five million, seven hundred fifty-two thousand, two hundred forty".