137432064 has 264 divisors, whose sum is σ = 470449728. Its totient is φ = 35266560.

The previous prime is 137432051. The next prime is 137432077. The reversal of 137432064 is 460234731.

It is an interprime number because it is at equal distance from previous prime (137432051) and next prime (137432077).

It is a tau number, because it is divible by the number of its divisors (264).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1655767 + ... + 1655849.

Almost surely, 2^137432064 is an apocalyptic number.

137432064 is a gapful number since it is divisible by the number (14) 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 137432064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235224864).

137432064 is an abundant number, since it is smaller than the sum of its proper divisors (333017664).

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

137432064 is a wasteful number, since it uses less digits than its factorization.

137432064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 137432064 is about 11723.1422408841. The cubic root of 137432064 is about 516.0550388980.

Adding to 137432064 its reverse (460234731), we get a palindrome (597666795).

The spelling of 137432064 in words is "one hundred thirty-seven million, four hundred thirty-two thousand, sixty-four".