145807350063120 has 400 divisors, whose sum is σ = 507170455799040. Its totient is φ = 38823650611200.

The previous prime is 145807350062987. The next prime is 145807350063187. The reversal of 145807350063120 is 21360053708541.

It is a happy number.

145807350063120 is a `hidden beast` number, since 1 + 4 + 5 + 8 + 0 + 7 + 3 + 5 + 0 + 0 + 631 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29109071176 + ... + 29109076184.

Almost surely, 2^{145807350063120} is an apocalyptic number.

145807350063120 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 145807350063120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253585227899520).

145807350063120 is an abundant number, since it is smaller than the sum of its proper divisors (361363105735920).

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

145807350063120 is a wasteful number, since it uses less digits than its factorization.

145807350063120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10876 (or 10861 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 145807350063120 in words is "one hundred forty-five trillion, eight hundred seven billion, three hundred fifty million, sixty-three thousand, one hundred twenty".