137378197800 has 96 divisors (see below), whose sum is σ = 473191588800. Its totient is φ = 36634184640.

The previous prime is 137378197799. The next prime is 137378197807. The reversal of 137378197800 is 8791873731.

It is a happy number.

137378197800 is a `hidden beast` number, since 1 + 3 + 7 + 378 + 197 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (137378197807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12714804 + ... + 12725603.

It is an arithmetic number, because the mean of its divisors is an integer number (4929079050).

Almost surely, 2^137378197800 is an apocalyptic number.

137378197800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137378197800 is an abundant number, since it is smaller than the sum of its proper divisors (335813391000).

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

137378197800 is a wasteful number, since it uses less digits than its factorization.

137378197800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25440432 (or 25440417 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 137378197800 in words is "one hundred thirty-seven billion, three hundred seventy-eight million, one hundred ninety-seven thousand, eight hundred".