145306791630 has 384 divisors, whose sum is σ = 514419849216. Its totient is φ = 27477273600.

The previous prime is 145306791613. The next prime is 145306791631. The reversal of 145306791630 is 36197603541.

It is a happy number.

145306791630 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 0 + 6 + 7 + 9 + 1 + 630 = 666.

It is a super-2 number, since 2×145306791630² (a number of 23 digits) contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145306791631) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6385032 + ... + 6407748.

It is an arithmetic number, because the mean of its divisors is an integer number (1339635024).

Almost surely, 2^145306791630 is an apocalyptic number.

145306791630 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 145306791630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257209924608).

145306791630 is an abundant number, since it is smaller than the sum of its proper divisors (369113057586).

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

145306791630 is a wasteful number, since it uses less digits than its factorization.

145306791630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22832 (or 22829 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 145306791630 in words is "one hundred forty-five billion, three hundred six million, seven hundred ninety-one thousand, six hundred thirty".