120537648 has 180 divisors, whose sum is σ = 428363208. Its totient is φ = 31288320.

The previous prime is 120537631. The next prime is 120537661. The reversal of 120537648 is 846735021.

120537648 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 3 + 7 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 76840 + ... + 78392.

Almost surely, 2^120537648 is an apocalyptic number.

120537648 is a gapful number since it is divisible by the number (18) 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 120537648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214181604).

120537648 is an abundant number, since it is smaller than the sum of its proper divisors (307825560).

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

120537648 is a wasteful number, since it uses less digits than its factorization.

120537648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 120537648 is about 10978.9638855404. The cubic root of 120537648 is about 493.9779585526.

It can be divided in two parts, 12053 and 7648, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 120537648 in words is "one hundred twenty million, five hundred thirty-seven thousand, six hundred forty-eight".