145123570106000 has 40 divisors (see below), whose sum is σ = 350908792521144. Its totient is φ = 58049428041600.

The previous prime is 145123570105861. The next prime is 145123570106003. The reversal of 145123570106000 is 601075321541.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1789901488384 + 143333668617616 = 1337872^2 + 11972204^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×145123570106000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145123570106003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36280890527 + ... + 36280894526.

Almost surely, 2^{145123570106000} is an apocalyptic number.

145123570106000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145123570106000 is an abundant number, since it is smaller than the sum of its proper divisors (205785222415144).

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

145123570106000 is an equidigital number, since it uses as much as digits as its factorization.

145123570106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72561785076 (or 72561785060 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

The spelling of 145123570106000 in words is "one hundred forty-five trillion, one hundred twenty-three billion, five hundred seventy million, one hundred six thousand".