147661307136000 has 6912 divisors, whose sum is σ = 706185766540800. Its totient is φ = 29429858304000.

The previous prime is 147661307135989. The next prime is 147661307136071. The reversal of 147661307136000 is 631703166741.

147661307136000 is a `hidden beast` number, since 1 + 4 + 7 + 6 + 6 + 1 + 30 + 7 + 1 + 3 + 600 + 0 = 666.

It is a super-2 number, since 2×147661307136000² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2022757631964 + ... + 2022757632036.

It is an arithmetic number, because the mean of its divisors is an integer number (102168079650).

Almost surely, 2^{147661307136000} is an apocalyptic number.

147661307136000 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 147661307136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353092883270400).

147661307136000 is an abundant number, since it is smaller than the sum of its proper divisors (558524459404800).

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

147661307136000 is a wasteful number, since it uses less digits than its factorization.

147661307136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 147661307136000 in words is "one hundred forty-seven trillion, six hundred sixty-one billion, three hundred seven million, one hundred thirty-six thousand".