136417216 has 56 divisors (see below), whose sum is σ = 294308784. Its totient is φ = 62361600.

The previous prime is 136417213. The next prime is 136417219. The reversal of 136417216 is 612714631.

It is an interprime number because it is at equal distance from previous prime (136417213) and next prime (136417219).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136417213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93291 + ... + 94741.

It is an arithmetic number, because the mean of its divisors is an integer number (5255514).

Almost surely, 2^136417216 is an apocalyptic number.

136417216 is a gapful number since it is divisible by the number (16) 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 136417216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147154392).

136417216 is an abundant number, since it is smaller than the sum of its proper divisors (157891568).

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

136417216 is a wasteful number, since it uses less digits than its factorization.

136417216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589 (or 1579 counting only the distinct ones).

The product of its digits is 6048, while the sum is 31.

The square root of 136417216 is about 11679.7780800835. The cubic root of 136417216 is about 514.7816537561.

The spelling of 136417216 in words is "one hundred thirty-six million, four hundred seventeen thousand, two hundred sixteen".