137533800 has 48 divisors (see below), whose sum is σ = 426356640. Its totient is φ = 36675520.

The previous prime is 137533783. The next prime is 137533801. The reversal of 137533800 is 8335731.

It is a super-2 number, since 2×137533800² = 37831092284880000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 (137533801) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 114012 + ... + 115211.

It is an arithmetic number, because the mean of its divisors is an integer number (8882430).

Almost surely, 2^137533800 is an apocalyptic number.

137533800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137533800 is an abundant number, since it is smaller than the sum of its proper divisors (288822840).

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

137533800 is a wasteful number, since it uses less digits than its factorization.

137533800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229242 (or 229233 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 137533800 is about 11727.4805478415. The cubic root of 137533800 is about 516.1823464668.

The spelling of 137533800 in words is "one hundred thirty-seven million, five hundred thirty-three thousand, eight hundred".