130446097152 has 216 divisors, whose sum is σ = 405380731392. Its totient is φ = 37129881600.

The previous prime is 130446097147. The next prime is 130446097153. The reversal of 130446097152 is 251790644031.

It is a super-2 number, since 2×130446097152² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (130446097153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10191877 + ... + 10204667.

Almost surely, 2^130446097152 is an apocalyptic number.

130446097152 is a gapful number since it is divisible by the number (12) 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 130446097152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202690365696).

130446097152 is an abundant number, since it is smaller than the sum of its proper divisors (274934634240).

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

130446097152 is a wasteful number, since it uses less digits than its factorization.

130446097152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13095 (or 13074 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 130446097152 in words is "one hundred thirty billion, four hundred forty-six million, ninety-seven thousand, one hundred fifty-two".