137801244672 has 1344 divisors, whose sum is σ = 549588049920. Its totient is φ = 32232701952.

The previous prime is 137801244661. The next prime is 137801244697. The reversal of 137801244672 is 276442108731.

137801244672 is a `hidden beast` number, since 137 + 8 + 0 + 1 + 2 + 446 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2931941353 + ... + 2931941399.

It is an arithmetic number, because the mean of its divisors is an integer number (408919680).

Almost surely, 2^137801244672 is an apocalyptic number.

137801244672 is a gapful number since it is divisible by the number (12) 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 137801244672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274794024960).

137801244672 is an abundant number, since it is smaller than the sum of its proper divisors (411786805248).

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

137801244672 is a wasteful number, since it uses less digits than its factorization.

137801244672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 137801244672 in words is "one hundred thirty-seven billion, eight hundred one million, two hundred forty-four thousand, six hundred seventy-two".