145251025920 has 2112 divisors, whose sum is σ = 700425363456. Its totient is φ = 26860584960.

The previous prime is 145251025901. The next prime is 145251025957. The reversal of 145251025920 is 29520152541.

145251025920 is a `hidden beast` number, since 1 + 4 + 52 + 5 + 10 + 2 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2167925727 + ... + 2167925793.

Almost surely, 2^145251025920 is an apocalyptic number.

145251025920 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 145251025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350212681728).

145251025920 is an abundant number, since it is smaller than the sum of its proper divisors (555174337536).

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

145251025920 is a wasteful number, since it uses less digits than its factorization.

145251025920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 145251025920 in words is "one hundred forty-five billion, two hundred fifty-one million, twenty-five thousand, nine hundred twenty".