137332415340 has 288 divisors, whose sum is σ = 458289861120. Its totient is φ = 33133529088.

The previous prime is 137332415323. The next prime is 137332415357. The reversal of 137332415340 is 43514233731.

137332415340 is a `hidden beast` number, since 1 + 3 + 73 + 3 + 241 + 5 + 340 = 666.

It is an interprime number because it is at equal distance from previous prime (137332415323) and next prime (137332415357).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 137332415295 and 137332415304.

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, 76849927 + ... + 76851713.

It is an arithmetic number, because the mean of its divisors is an integer number (1591284240).

Almost surely, 2^137332415340 is an apocalyptic number.

137332415340 is a gapful number since it is divisible by the number (10) 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 137332415340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229144930560).

137332415340 is an abundant number, since it is smaller than the sum of its proper divisors (320957445780).

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

137332415340 is a wasteful number, since it uses less digits than its factorization.

137332415340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2821 (or 2816 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 137332415340 in words is "one hundred thirty-seven billion, three hundred thirty-two million, four hundred fifteen thousand, three hundred forty".