145513090000 has 200 divisors, whose sum is σ = 363962800872. Its totient is φ = 56309760000.

The previous prime is 145513089989. The next prime is 145513090003. The reversal of 145513090000 is 90315541.

It can be written as a sum of positive squares in 20 ways, for example, as 137946873744 + 7566216256 = 371412^2 + 86984^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×145513090000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145513090003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38688120 + ... + 38691880.

Almost surely, 2^145513090000 is an apocalyptic number.

145513090000 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 145513090000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181981400436).

145513090000 is an abundant number, since it is smaller than the sum of its proper divisors (218449710872).

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

145513090000 is an equidigital number, since it uses as much as digits as its factorization.

145513090000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3915 (or 3894 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 28.

The spelling of 145513090000 in words is "one hundred forty-five billion, five hundred thirteen million, ninety thousand".