137222400 has 216 divisors, whose sum is σ = 518064064. Its totient is φ = 31334400.

The previous prime is 137222387. The next prime is 137222411. The reversal of 137222400 is 4222731.

It is a hoax number, since the sum of its digits (21) 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 (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133890 + ... + 134910.

Almost surely, 2^137222400 is an apocalyptic number.

137222400 is a gapful number since it is divisible by the number (10) 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 137222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259032032).

137222400 is an abundant number, since it is smaller than the sum of its proper divisors (380841664).

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

137222400 is a wasteful number, since it uses less digits than its factorization.

137222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 137222400 is about 11714.1965153398. The cubic root of 137222400 is about 515.7924770937.

The spelling of 137222400 in words is "one hundred thirty-seven million, two hundred twenty-two thousand, four hundred".