42148512 has 240 divisors, whose sum is σ = 149288832. Its totient is φ = 11404800.

The previous prime is 42148507. The next prime is 42148529. The reversal of 42148512 is 21584124.

42148512 is a `hidden beast` number, since 4 + 2 + 148 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 417262 + ... + 417362.

Almost surely, 2^42148512 is an apocalyptic number.

42148512 is a gapful number since it is divisible by the number (42) 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 42148512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74644416).

42148512 is an abundant number, since it is smaller than the sum of its proper divisors (107140320).

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

42148512 is a wasteful number, since it uses less digits than its factorization.

42148512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 136 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 42148512 is about 6492.1885370035. The cubic root of 42148512 is about 348.0118902002.

The spelling of 42148512 in words is "forty-two million, one hundred forty-eight thousand, five hundred twelve".