137514330 has 96 divisors (see below), whose sum is σ = 368769024. Its totient is φ = 35538048.

The previous prime is 137514329. The next prime is 137514331. The reversal of 137514330 is 33415731.

It is an interprime number because it is at equal distance from previous prime (137514329) and next prime (137514331).

It is a junction number, because it is equal to n+sod(n) for n = 137514294 and 137514303.

It is not an unprimeable number, because it can be changed into a prime (137514331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 605677 + ... + 605903.

It is an arithmetic number, because the mean of its divisors is an integer number (3841344).

Almost surely, 2^137514330 is an apocalyptic number.

137514330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137514330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184384512).

137514330 is an abundant number, since it is smaller than the sum of its proper divisors (231254694).

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

137514330 is a wasteful number, since it uses less digits than its factorization.

137514330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 137514330 is about 11726.6504168923. The cubic root of 137514330 is about 516.1579874981.

It can be divided in two parts, 13751 and 4330, that added together give a palindrome (18081).

The spelling of 137514330 in words is "one hundred thirty-seven million, five hundred fourteen thousand, three hundred thirty".