137153653 has 8 divisors (see below), whose sum is σ = 168804608. Its totient is φ = 108517104.

The previous prime is 137153633. The next prime is 137153659. The reversal of 137153653 is 356351731.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137153653 - 2⁹ = 137153141 is a prime.

It is a super-3 number, since 3×137153653³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137153659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 753501 + ... + 753682.

It is an arithmetic number, because the mean of its divisors is an integer number (21100576).

Almost surely, 2^137153653 is an apocalyptic number.

137153653 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

137153653 is a deficient number, since it is larger than the sum of its proper divisors (31650955).

137153653 is a wasteful number, since it uses less digits than its factorization.

137153653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507203.

The product of its digits is 28350, while the sum is 34.

The square root of 137153653 is about 11711.2618022141. The cubic root of 137153653 is about 515.7063271438.

The spelling of 137153653 in words is "one hundred thirty-seven million, one hundred fifty-three thousand, six hundred fifty-three".