147137402880 has 1152 divisors, whose sum is σ = 587038233600. Its totient is φ = 34918760448.

The previous prime is 147137402879. The next prime is 147137402897. The reversal of 147137402880 is 88204731741.

147137402880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

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 95 ways as a sum of consecutive naturals, for example, 2196080607 + ... + 2196080673.

It is an arithmetic number, because the mean of its divisors is an integer number (509581800).

Almost surely, 2^147137402880 is an apocalyptic number.

147137402880 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 147137402880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293519116800).

147137402880 is an abundant number, since it is smaller than the sum of its proper divisors (439900830720).

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

147137402880 is a wasteful number, since it uses less digits than its factorization.

147137402880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 147137402880 in words is "one hundred forty-seven billion, one hundred thirty-seven million, four hundred two thousand, eight hundred eighty".