41137152 has 88 divisors (see below), whose sum is σ = 125374656. Its totient is φ = 11747328.

The previous prime is 41137121. The next prime is 41137153. The reversal of 41137152 is 25173114.

It is a super-2 number, since 2×41137152² = 3384530549342208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41137153) 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, 20548 + ... + 22460.

It is an arithmetic number, because the mean of its divisors is an integer number (1424712).

Almost surely, 2^41137152 is an apocalyptic number.

41137152 is a gapful number since it is divisible by the number (42) 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 41137152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62687328).

41137152 is an abundant number, since it is smaller than the sum of its proper divisors (84237504).

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

41137152 is a wasteful number, since it uses less digits than its factorization.

41137152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1943 (or 1925 counting only the distinct ones).

The product of its digits is 840, while the sum is 24.

The square root of 41137152 is about 6413.8250677735. The cubic root of 41137152 is about 345.2057919448.

The spelling of 41137152 in words is "forty-one million, one hundred thirty-seven thousand, one hundred fifty-two".