145625986560 has 320 divisors, whose sum is σ = 473180875200. Its totient is φ = 38201720832.

The previous prime is 145625986549. The next prime is 145625986577. The reversal of 145625986560 is 65689526541.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 145625986560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175664226 + ... + 175665054.

It is an arithmetic number, because the mean of its divisors is an integer number (1478690235).

Almost surely, 2^145625986560 is an apocalyptic number.

145625986560 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 145625986560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236590437600).

145625986560 is an abundant number, since it is smaller than the sum of its proper divisors (327554888640).

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

145625986560 is an equidigital number, since it uses as much as digits as its factorization.

145625986560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 57.

The spelling of 145625986560 in words is "one hundred forty-five billion, six hundred twenty-five million, nine hundred eighty-six thousand, five hundred sixty".