137327308321000 has 192 divisors, whose sum is σ = 374673900116880. Its totient is φ = 46974903091200.

The previous prime is 137327308320827. The next prime is 137327308321069. The reversal of 137327308321000 is 123803723731.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 504551661124 + 136822756659876 = 710318^2 + 11697126^2 .

It is a super-2 number, since 2×137327308321000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17980744 + ... + 24453256.

Almost surely, 2^{137327308321000} is an apocalyptic number.

137327308321000 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 137327308321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187336950058440).

137327308321000 is an abundant number, since it is smaller than the sum of its proper divisors (237346591795880).

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

137327308321000 is a wasteful number, since it uses less digits than its factorization.

137327308321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6472981 (or 6472960 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 40.

The spelling of 137327308321000 in words is "one hundred thirty-seven trillion, three hundred twenty-seven billion, three hundred eight million, three hundred twenty-one thousand".