137433361152 has 144 divisors (see below), whose sum is σ = 369777260160. Its totient is φ = 45311041536.

The previous prime is 137433361129. The next prime is 137433361189. The reversal of 137433361152 is 251163334731.

It is a self number, because there is not a number n which added to its sum of digits gives 137433361152.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84886999 + ... + 84888617.

It is an arithmetic number, because the mean of its divisors is an integer number (2567897640).

Almost surely, 2^137433361152 is an apocalyptic number.

137433361152 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 137433361152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184888630080).

137433361152 is an abundant number, since it is smaller than the sum of its proper divisors (232343899008).

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

137433361152 is a wasteful number, since it uses less digits than its factorization.

137433361152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2778 (or 2764 counting only the distinct ones).

The product of its digits is 136080, while the sum is 39.

Adding to 137433361152 its reverse (251163334731), we get a palindrome (388596695883).

The spelling of 137433361152 in words is "one hundred thirty-seven billion, four hundred thirty-three million, three hundred sixty-one thousand, one hundred fifty-two".