137226153792 has 224 divisors, whose sum is σ = 450390556672. Its totient is φ = 35905959936.

The previous prime is 137226153769. The next prime is 137226153797. The reversal of 137226153792 is 297351622731.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137226153797) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2188023 + ... + 2249865.

It is an arithmetic number, because the mean of its divisors is an integer number (2010672128).

Almost surely, 2^137226153792 is an apocalyptic number.

137226153792 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 137226153792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225195278336).

137226153792 is an abundant number, since it is smaller than the sum of its proper divisors (313164402880).

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

137226153792 is a wasteful number, since it uses less digits than its factorization.

137226153792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62005 (or 61995 counting only the distinct ones).

The product of its digits is 952560, while the sum is 48.

The spelling of 137226153792 in words is "one hundred thirty-seven billion, two hundred twenty-six million, one hundred fifty-three thousand, seven hundred ninety-two".