151407540 has 72 divisors (see below), whose sum is σ = 463543080. Its totient is φ = 39999744.

The previous prime is 151407533. The next prime is 151407541. The reversal of 151407540 is 45704151.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 24980004 + 126427536 = 4998^2 + 11244^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151407541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15762 + ... + 23478.

Almost surely, 2^151407540 is an apocalyptic number.

151407540 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 151407540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231771540).

151407540 is an abundant number, since it is smaller than the sum of its proper divisors (312135540).

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

151407540 is a wasteful number, since it uses less digits than its factorization.

151407540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7841 (or 7836 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 151407540 is about 12304.7771211022. Note that the first 3 decimals coincide. The cubic root of 151407540 is about 532.9860403939.

The spelling of 151407540 in words is "one hundred fifty-one million, four hundred seven thousand, five hundred forty".