137554453344 has 576 divisors, whose sum is σ = 483711492096. Its totient is φ = 33386496000.

The previous prime is 137554453343. The next prime is 137554453369. The reversal of 137554453344 is 443354455731.

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

It is a junction number, because it is equal to n+sod(n) for n = 137554453293 and 137554453302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137554453343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 264019804 + ... + 264020324.

It is an arithmetic number, because the mean of its divisors is an integer number (839776896).

Almost surely, 2^137554453344 is an apocalyptic number.

137554453344 is a gapful number since it is divisible by the number (14) 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 137554453344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241855746048).

137554453344 is an abundant number, since it is smaller than the sum of its proper divisors (346157038752).

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

137554453344 is a wasteful number, since it uses less digits than its factorization.

137554453344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 752 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 48.

The spelling of 137554453344 in words is "one hundred thirty-seven billion, five hundred fifty-four million, four hundred fifty-three thousand, three hundred forty-four".