145214795250 has 896 divisors, whose sum is σ = 500884300800. Its totient is φ = 31434480000.

The previous prime is 145214795207. The next prime is 145214795267. The reversal of 145214795250 is 52597412541.

145214795250 is a `hidden beast` number, since 1 + 4 + 52 + 1 + 4 + 79 + 525 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 145214795196 and 145214795205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 1437770200 + ... + 1437770300.

Almost surely, 2^145214795250 is an apocalyptic number.

145214795250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145214795250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250442150400).

145214795250 is an abundant number, since it is smaller than the sum of its proper divisors (355669505550).

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

145214795250 is an equidigital number, since it uses as much as digits as its factorization.

145214795250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 145214795250 in words is "one hundred forty-five billion, two hundred fourteen million, seven hundred ninety-five thousand, two hundred fifty".