137541423118800 has 120 divisors (see below), whose sum is σ = 441334014225984. Its totient is φ = 36615861524480.

The previous prime is 137541423118777. The next prime is 137541423118823. The reversal of 137541423118800 is 8811324145731.

It is an interprime number because it is at equal distance from previous prime (137541423118777) and next prime (137541423118823).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×137541423118800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 137541423118800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95930772 + ... + 97353971.

Almost surely, 2^{137541423118800} is an apocalyptic number.

137541423118800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137541423118800 is an abundant number, since it is smaller than the sum of its proper divisors (303792591107184).

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

137541423118800 is a wasteful number, since it uses less digits than its factorization.

137541423118800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193285357 (or 193285346 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 137541423118800 in words is "one hundred thirty-seven trillion, five hundred forty-one billion, four hundred twenty-three million, one hundred eighteen thousand, eight hundred".