151025040 has 160 divisors (see below), whose sum is σ = 538358400. Its totient is φ = 38868480.

The previous prime is 151025027. The next prime is 151025111. The reversal of 151025040 is 40520151.

It is a super-3 number, since 3×151025040³ (a number of 26 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61435 + ... + 63845.

It is an arithmetic number, because the mean of its divisors is an integer number (3364740).

Almost surely, 2^151025040 is an apocalyptic number.

151025040 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 151025040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269179200).

151025040 is an abundant number, since it is smaller than the sum of its proper divisors (387333360).

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

151025040 is a wasteful number, since it uses less digits than its factorization.

151025040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2462 (or 2450 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 151025040 is about 12289.2245483594. The cubic root of 151025040 is about 532.5368353809.

Adding to 151025040 its reverse (40520151), we get a palindrome (191545191).

The spelling of 151025040 in words is "one hundred fifty-one million, twenty-five thousand, forty".