164137440 has 48 divisors (see below), whose sum is σ = 517034448. Its totient is φ = 43769856.

The previous prime is 164137433. The next prime is 164137481. The reversal of 164137440 is 44731461.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-5 number, since 5×164137440⁵ (a number of 42 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 164137398 and 164137407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170497 + ... + 171456.

It is an arithmetic number, because the mean of its divisors is an integer number (10771551).

Almost surely, 2^164137440 is an apocalyptic number.

164137440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164137440 is an abundant number, since it is smaller than the sum of its proper divisors (352897008).

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

164137440 is a wasteful number, since it uses less digits than its factorization.

164137440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341971 (or 341963 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 164137440 is about 12811.6134815253. The cubic root of 164137440 is about 547.5232324747.

The spelling of 164137440 in words is "one hundred sixty-four million, one hundred thirty-seven thousand, four hundred forty".