145595153687040 has 1280 divisors, whose sum is σ = 561628178496000. Its totient is φ = 35606778347520.

The previous prime is 145595153686993. The next prime is 145595153687041. The reversal of 145595153687040 is 40786351595541.

145595153687040 is a `hidden beast` number, since 1 + 4 + 5 + 5 + 9 + 51 + 536 + 8 + 7 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is not an unprimeable number, because it can be changed into a prime (145595153687041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59209089331 + ... + 59209091789.

It is an arithmetic number, because the mean of its divisors is an integer number (438772014450).

Almost surely, 2^{145595153687040} is an apocalyptic number.

145595153687040 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 145595153687040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280814089248000).

145595153687040 is an abundant number, since it is smaller than the sum of its proper divisors (416033024808960).

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

145595153687040 is a wasteful number, since it uses less digits than its factorization.

145595153687040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3778 (or 3756 counting only the distinct ones).

The product of its (nonzero) digits is 90720000, while the sum is 63.

The spelling of 145595153687040 in words is "one hundred forty-five trillion, five hundred ninety-five billion, one hundred fifty-three million, six hundred eighty-seven thousand, forty".