147687138000 has 480 divisors, whose sum is σ = 537667253760. Its totient is φ = 39181708800.

The previous prime is 147687137989. The next prime is 147687138013. The reversal of 147687138000 is 831786741.

147687138000 is a `hidden beast` number, since 147 + 68 + 71 + 380 + 0 + 0 = 666.

It is a super-2 number, since 2×147687138000² (a number of 23 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111293337 + ... + 111294663.

It is an arithmetic number, because the mean of its divisors is an integer number (1120140112).

Almost surely, 2^147687138000 is an apocalyptic number.

147687138000 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 147687138000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268833626880).

147687138000 is an abundant number, since it is smaller than the sum of its proper divisors (389980115760).

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

147687138000 is a wasteful number, since it uses less digits than its factorization.

147687138000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 147687138000 in words is "one hundred forty-seven billion, six hundred eighty-seven million, one hundred thirty-eight thousand".