145031355700000 has 1152 divisors, whose sum is σ = 457900304504832. Its totient is φ = 43908480000000.

The previous prime is 145031355699977. The next prime is 145031355700043. The reversal of 145031355700000 is 7553130541.

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, 37660698075 + ... + 37660701925.

It is an arithmetic number, because the mean of its divisors is an integer number (397482903216).

Almost surely, 2^{145031355700000} is an apocalyptic number.

145031355700000 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 145031355700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228950152252416).

145031355700000 is an abundant number, since it is smaller than the sum of its proper divisors (312868948804832).

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

145031355700000 is an equidigital number, since it uses as much as digits as its factorization.

145031355700000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4044 (or 4016 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 34.

The spelling of 145031355700000 in words is "one hundred forty-five trillion, thirty-one billion, three hundred fifty-five million, seven hundred thousand".