145202738130 has 128 divisors (see below), whose sum is σ = 400978080000. Its totient is φ = 37346448384.

The previous prime is 145202738117. The next prime is 145202738141. The reversal of 145202738130 is 31837202541.

145202738130 is a `hidden beast` number, since 1 + 4 + 520 + 27 + 3 + 81 + 30 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7891281 + ... + 7909659.

It is an arithmetic number, because the mean of its divisors is an integer number (3132641250).

Almost surely, 2^145202738130 is an apocalyptic number.

145202738130 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 145202738130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200489040000).

145202738130 is an abundant number, since it is smaller than the sum of its proper divisors (255775341870).

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

145202738130 is a wasteful number, since it uses less digits than its factorization.

145202738130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19433 (or 19427 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 145202738130 in words is "one hundred forty-five billion, two hundred two million, seven hundred thirty-eight thousand, one hundred thirty".