137629497 has 16 divisors (see below), whose sum is σ = 189205632. Its totient is φ = 88932480.

The previous prime is 137629487. The next prime is 137629523. The reversal of 137629497 is 794926731.

It is a happy number.

It is not a de Polignac number, because 137629497 - 2¹¹ = 137627449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137629417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15748 + ... + 22874.

It is an arithmetic number, because the mean of its divisors is an integer number (11825352).

Almost surely, 2^137629497 is an apocalyptic number.

It is an amenable number.

137629497 is a deficient number, since it is larger than the sum of its proper divisors (51576135).

137629497 is a wasteful number, since it uses less digits than its factorization.

137629497 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7328.

The product of its digits is 571536, while the sum is 48.

The square root of 137629497 is about 11731.5598707077. The cubic root of 137629497 is about 516.3020398306.

The spelling of 137629497 in words is "one hundred thirty-seven million, six hundred twenty-nine thousand, four hundred ninety-seven".