151214040 has 192 divisors, whose sum is σ = 522063360. Its totient is φ = 39346560.

The previous prime is 151214039. The next prime is 151214047. The reversal of 151214040 is 40412151.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151214047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 456675 + ... + 457005.

It is an arithmetic number, because the mean of its divisors is an integer number (2719080).

Almost surely, 2^151214040 is an apocalyptic number.

151214040 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 151214040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261031680).

151214040 is an abundant number, since it is smaller than the sum of its proper divisors (370849320).

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

151214040 is a wasteful number, since it uses less digits than its factorization.

151214040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 151214040 is about 12296.9118074417. The cubic root of 151214040 is about 532.7588901809.

Adding to 151214040 its reverse (40412151), we get a palindrome (191626191).

The spelling of 151214040 in words is "one hundred fifty-one million, two hundred fourteen thousand, forty".