137147472 has 480 divisors, whose sum is σ = 542822400. Its totient is φ = 32659200.

The previous prime is 137147443. The next prime is 137147489. The reversal of 137147472 is 274741731.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4424097 + ... + 4424127.

It is an arithmetic number, because the mean of its divisors is an integer number (1130880).

Almost surely, 2^137147472 is an apocalyptic number.

137147472 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 137147472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271411200).

137147472 is an abundant number, since it is smaller than the sum of its proper divisors (405674928).

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

137147472 is a wasteful number, since it uses less digits than its factorization.

137147472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 73 counting only the distinct ones).

The product of its digits is 32928, while the sum is 36.

The square root of 137147472 is about 11710.9979079496. The cubic root of 137147472 is about 515.6985800450.

The spelling of 137147472 in words is "one hundred thirty-seven million, one hundred forty-seven thousand, four hundred seventy-two".