147733740 has 576 divisors, whose sum is σ = 643507200. Its totient is φ = 27371520.

The previous prime is 147733661. The next prime is 147733741. The reversal of 147733740 is 47337741.

It is a super-3 number, since 3×147733740³ (a number of 25 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 147733695 and 147733704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147733741) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7775451 + ... + 7775469.

It is an arithmetic number, because the mean of its divisors is an integer number (1117200).

Almost surely, 2^147733740 is an apocalyptic number.

147733740 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 147733740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321753600).

147733740 is an abundant number, since it is smaller than the sum of its proper divisors (495773460).

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

147733740 is a wasteful number, since it uses less digits than its factorization.

147733740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 147733740 is about 12154.5769157137. The cubic root of 147733740 is about 528.6398492945.

The spelling of 147733740 in words is "one hundred forty-seven million, seven hundred thirty-three thousand, seven hundred forty".