145751400817560 has 512 divisors, whose sum is σ = 500625785088000. Its totient is φ = 37702188066816.

The previous prime is 145751400817489. The next prime is 145751400817601. The reversal of 145751400817560 is 65718004157541.

145751400817560 is a `hidden beast` number, since 1 + 4 + 5 + 7 + 5 + 1 + 400 + 8 + 175 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 145751400817497 and 145751400817506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2913662709 + ... + 2913712731.

It is an arithmetic number, because the mean of its divisors is an integer number (977784736500).

Almost surely, 2^{145751400817560} is an apocalyptic number.

145751400817560 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 145751400817560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250312892544000).

145751400817560 is an abundant number, since it is smaller than the sum of its proper divisors (354874384270440).

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

145751400817560 is a wasteful number, since it uses less digits than its factorization.

145751400817560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50672 (or 50662 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 54.

The spelling of 145751400817560 in words is "one hundred forty-five trillion, seven hundred fifty-one billion, four hundred million, eight hundred seventeen thousand, five hundred sixty".