137781850400 has 72 divisors (see below), whose sum is σ = 342061075440. Its totient is φ = 54178607360.

The previous prime is 137781850387. The next prime is 137781850463. The reversal of 137781850400 is 4058187731.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1412354 + ... + 1506753.

It is an arithmetic number, because the mean of its divisors is an integer number (4750848270).

Almost surely, 2^137781850400 is an apocalyptic number.

137781850400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137781850400 is an abundant number, since it is smaller than the sum of its proper divisors (204279225040).

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

137781850400 is a wasteful number, since it uses less digits than its factorization.

137781850400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2919186 (or 2919173 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 44.

The spelling of 137781850400 in words is "one hundred thirty-seven billion, seven hundred eighty-one million, eight hundred fifty thousand, four hundred".