137523672 has 288 divisors, whose sum is σ = 474299280. Its totient is φ = 35458560.

The previous prime is 137523671. The next prime is 137523677. The reversal of 137523672 is 276325731.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137523671) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3716838 + ... + 3716874.

Almost surely, 2^137523672 is an apocalyptic number.

137523672 is a gapful number since it is divisible by the number (12) 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 137523672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237149640).

137523672 is an abundant number, since it is smaller than the sum of its proper divisors (336775608).

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

137523672 is a wasteful number, since it uses less digits than its factorization.

137523672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 85 counting only the distinct ones).

The product of its digits is 52920, while the sum is 36.

The square root of 137523672 is about 11727.0487335902. The cubic root of 137523672 is about 516.1696755860.

It can be divided in two parts, 13752 and 3672, that added together give a square (17424 = 132²).

The spelling of 137523672 in words is "one hundred thirty-seven million, five hundred twenty-three thousand, six hundred seventy-two".