68149152 has 72 divisors (see below), whose sum is σ = 198342144. Its totient is φ = 22184064.

The previous prime is 68149099. The next prime is 68149171. The reversal of 68149152 is 25194186.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×68149152³ (a number of 24 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9633 + ... + 15135.

It is an arithmetic number, because the mean of its divisors is an integer number (2754752).

Almost surely, 2^68149152 is an apocalyptic number.

68149152 is the 4128-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68149152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99171072).

68149152 is an abundant number, since it is smaller than the sum of its proper divisors (130192992).

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

68149152 is a wasteful number, since it uses less digits than its factorization.

68149152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5562 (or 5551 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 68149152 is about 8255.2499659308. The cubic root of 68149152 is about 408.4637172782.

The spelling of 68149152 in words is "sixty-eight million, one hundred forty-nine thousand, one hundred fifty-two".