147701010134600 has 384 divisors, whose sum is σ = 394847928115200. Its totient is φ = 50899116441600.

The previous prime is 147701010134591. The next prime is 147701010134611. The reversal of 147701010134600 is 6431010107741.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14712716381 + ... + 14712726419.

It is an arithmetic number, because the mean of its divisors is an integer number (1028249812800).

Almost surely, 2^{147701010134600} is an apocalyptic number.

147701010134600 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 147701010134600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197423964057600).

147701010134600 is an abundant number, since it is smaller than the sum of its proper divisors (247146917980600).

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

147701010134600 is a wasteful number, since it uses less digits than its factorization.

147701010134600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12833 (or 12824 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 35.

The spelling of 147701010134600 in words is "one hundred forty-seven trillion, seven hundred one billion, ten million, one hundred thirty-four thousand, six hundred".