147414540 has 384 divisors, whose sum is σ = 564480000. Its totient is φ = 28449792.

The previous prime is 147414529. The next prime is 147414551. The reversal of 147414540 is 45414741.

It is an interprime number because it is at equal distance from previous prime (147414529) and next prime (147414551).

It is a super-3 number, since 3×147414540³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 147414498 and 147414507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5083246 + ... + 5083274.

It is an arithmetic number, because the mean of its divisors is an integer number (1470000).

Almost surely, 2^147414540 is an apocalyptic number.

147414540 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 147414540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282240000).

147414540 is an abundant number, since it is smaller than the sum of its proper divisors (417065460).

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

147414540 is a wasteful number, since it uses less digits than its factorization.

147414540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 147414540 is about 12141.4389592008. The cubic root of 147414540 is about 528.2588406043.

The spelling of 147414540 in words is "one hundred forty-seven million, four hundred fourteen thousand, five hundred forty".