147149291520000 has 3220 divisors, whose sum is σ = 687436008886176. Its totient is φ = 30576476160000.

The previous prime is 147149291519987. The next prime is 147149291520061. The reversal of 147149291520000 is 25192941741.

It is a Jordan-Polya number, since it can be written as 11! ⋅ (5!)² ⋅ (2!)⁸.

147149291520000 is a `hidden beast` number, since 1 + 4 + 7 + 1 + 492 + 9 + 152 + 0 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 13377208319995 + ... + 13377208320005.

Almost surely, 2^{147149291520000} is an apocalyptic number.

147149291520000 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 147149291520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343718004443088).

147149291520000 is an abundant number, since it is smaller than the sum of its proper divisors (540286717366176).

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

147149291520000 is an frugal number, since it uses more digits than its factorization.

147149291520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 147149291520000 in words is "one hundred forty-seven trillion, one hundred forty-nine billion, two hundred ninety-one million, five hundred twenty thousand".