120137472 has 288 divisors, whose sum is σ = 439541760. Its totient is φ = 31518720.

The previous prime is 120137447. The next prime is 120137473. The reversal of 120137472 is 274731021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120137473) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 628897 + ... + 629087.

Almost surely, 2^120137472 is an apocalyptic number.

120137472 is a gapful number since it is divisible by the number (12) 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 120137472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219770880).

120137472 is an abundant number, since it is smaller than the sum of its proper divisors (319404288).

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

120137472 is a wasteful number, since it uses less digits than its factorization.

120137472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 120137472 is about 10960.7240636739. The cubic root of 120137472 is about 493.4306958230.

Adding to 120137472 its reverse (274731021), we get a palindrome (394868493).

The spelling of 120137472 in words is "one hundred twenty million, one hundred thirty-seven thousand, four hundred seventy-two".