137178381376 has 63 divisors (see below), whose sum is σ = 276737363847. Its totient is φ = 67467692160.

The previous prime is 137178381359. The next prime is 137178381479. The reversal of 137178381376 is 673183871731.

The square root of 137178381376 is 370376.

It is a perfect power (a square), and thus also a powerful number.

137178381376 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 198521191 + ... + 198521881.

It is an arithmetic number, because the mean of its divisors is an integer number (4392656569).

Almost surely, 2^137178381376 is an apocalyptic number.

137178381376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

137178381376 is the 370376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137178381376

137178381376 is an abundant number, since it is smaller than the sum of its proper divisors (139558982471).

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

137178381376 is an frugal number, since it uses more digits than its factorization.

137178381376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528 (or 760 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 55.

The spelling of 137178381376 in words is "one hundred thirty-seven billion, one hundred seventy-eight million, three hundred eighty-one thousand, three hundred seventy-six".