49137600 has 168 divisors, whose sum is σ = 167243760. Its totient is φ = 12615680.

The previous prime is 49137593. The next prime is 49137601. The reversal of 49137600 is 673194.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49137601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139024 + ... + 139376.

Almost surely, 2^49137600 is an apocalyptic number.

49137600 is a gapful number since it is divisible by the number (40) 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 49137600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83621880).

49137600 is an abundant number, since it is smaller than the sum of its proper divisors (118106160).

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

49137600 is a wasteful number, since it uses less digits than its factorization.

49137600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 49137600 is about 7009.8216810415. The cubic root of 49137600 is about 366.2727818030.

The spelling of 49137600 in words is "forty-nine million, one hundred thirty-seven thousand, six hundred".