145007876640 has 192 divisors, whose sum is σ = 514374561792. Its totient is φ = 34019404800.

The previous prime is 145007876617. The next prime is 145007876653. The reversal of 145007876640 is 46678700541.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 145007876640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 279282 + ... + 606641.

It is an arithmetic number, because the mean of its divisors is an integer number (2679034176).

Almost surely, 2^145007876640 is an apocalyptic number.

145007876640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145007876640 is an abundant number, since it is smaller than the sum of its proper divisors (369366685152).

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

145007876640 is a wasteful number, since it uses less digits than its factorization.

145007876640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885983 (or 885975 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 145007876640 in words is "one hundred forty-five billion, seven million, eight hundred seventy-six thousand, six hundred forty".