137472001 has 2 divisors, whose sum is σ = 137472002. Its totient is φ = 137472000.

The previous prime is 137471963. The next prime is 137472029. The reversal of 137472001 is 100274731.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 127238400 + 10233601 = 11280^2 + 3199^2 .

It is a cyclic number.

It is not a de Polignac number, because 137472001 - 2¹¹ = 137469953 is a prime.

It is not a weakly prime, because it can be changed into another prime (137472091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68736000 + 68736001.

It is an arithmetic number, because the mean of its divisors is an integer number (68736001).

Almost surely, 2^137472001 is an apocalyptic number.

It is an amenable number.

137472001 is a deficient number, since it is larger than the sum of its proper divisors (1).

137472001 is an equidigital number, since it uses as much as digits as its factorization.

137472001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 137472001 is about 11724.8454574037. The cubic root of 137472001 is about 516.1050216397.

The spelling of 137472001 in words is "one hundred thirty-seven million, four hundred seventy-two thousand, one".