145990656000 has 1344 divisors, whose sum is σ = 629409171456. Its totient is φ = 31850496000.

The previous prime is 145990655989. The next prime is 145990656017. The reversal of 145990656000 is 656099541.

It is a happy number.

145990656000 is a `hidden beast` number, since 1 + 4 + 599 + 0 + 6 + 56 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 95 ways as a sum of consecutive naturals, for example, 1999871964 + ... + 1999872036.

Almost surely, 2^145990656000 is an apocalyptic number.

145990656000 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 145990656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314704585728).

145990656000 is an abundant number, since it is smaller than the sum of its proper divisors (483418515456).

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

145990656000 is an equidigital number, since it uses as much as digits as its factorization.

145990656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 145990656000 in words is "one hundred forty-five billion, nine hundred ninety million, six hundred fifty-six thousand".