145390071300 has 144 divisors (see below), whose sum is σ = 444823862784. Its totient is φ = 36604800000.

The previous prime is 145390071241. The next prime is 145390071313. The reversal of 145390071300 is 3170093541.

It is a super-2 number, since 2×145390071300² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190650 + ... + 571950.

Almost surely, 2^145390071300 is an apocalyptic number.

145390071300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 381300×381301.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145390071300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222411931392).

145390071300 is an abundant number, since it is smaller than the sum of its proper divisors (299433791484).

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

145390071300 is a wasteful number, since it uses less digits than its factorization.

145390071300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381390 (or 381383 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The spelling of 145390071300 in words is "one hundred forty-five billion, three hundred ninety million, seventy-one thousand, three hundred".