151290040 has 64 divisors (see below), whose sum is σ = 381425760. Its totient is φ = 53521920.

The previous prime is 151290023. The next prime is 151290043. The reversal of 151290040 is 40092151.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 151289993 and 151290020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151290043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11634 + ... + 20926.

Almost surely, 2^151290040 is an apocalyptic number.

151290040 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 151290040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190712880).

151290040 is an abundant number, since it is smaller than the sum of its proper divisors (230135720).

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

151290040 is a wasteful number, since it uses less digits than its factorization.

151290040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9352 (or 9348 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 151290040 is about 12300.0016260162. The cubic root of 151290040 is about 532.8481298975.

The spelling of 151290040 in words is "one hundred fifty-one million, two hundred ninety thousand, forty".