146751308640 has 576 divisors, whose sum is σ = 561247045632. Its totient is φ = 34724659200.

The previous prime is 146751308609. The next prime is 146751308647. The reversal of 146751308640 is 46803157641.

146751308640 is a `hidden beast` number, since 14 + 6 + 7 + 513 + 0 + 86 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146751308647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39974005 + ... + 39977675.

It is an arithmetic number, because the mean of its divisors is an integer number (974387232).

Almost surely, 2^146751308640 is an apocalyptic number.

146751308640 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 146751308640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280623522816).

146751308640 is an abundant number, since it is smaller than the sum of its proper divisors (414495736992).

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

146751308640 is a wasteful number, since it uses less digits than its factorization.

146751308640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3803 (or 3792 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 146751308640 in words is "one hundred forty-six billion, seven hundred fifty-one million, three hundred eight thousand, six hundred forty".