137458124143494 has 256 divisors, whose sum is σ = 348433711202304. Its totient is φ = 35114213836800.

The previous prime is 137458124143453. The next prime is 137458124143537. The reversal of 137458124143494 is 494341421854731.

It is a super-2 number, since 2×137458124143494² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35731249479 + ... + 35731253325.

It is an arithmetic number, because the mean of its divisors is an integer number (1361069184384).

Almost surely, 2^{137458124143494} is an apocalyptic number.

137458124143494 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137458124143494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174216855601152).

137458124143494 is an abundant number, since it is smaller than the sum of its proper divisors (210975587058810).

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

137458124143494 is a wasteful number, since it uses less digits than its factorization.

137458124143494 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6331.

The product of its digits is 46448640, while the sum is 60.

The spelling of 137458124143494 in words is "one hundred thirty-seven trillion, four hundred fifty-eight billion, one hundred twenty-four million, one hundred forty-three thousand, four hundred ninety-four".