151972040 has 64 divisors (see below), whose sum is σ = 389266560. Its totient is φ = 52856320.

The previous prime is 151972033. The next prime is 151972049. The reversal of 151972040 is 40279151.

It is a junction number, because it is equal to n+sod(n) for n = 151971994 and 151972012.

It is not an unprimeable number, because it can be changed into a prime (151972049) 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, 2612 + ... + 17628.

It is an arithmetic number, because the mean of its divisors is an integer number (6082290).

Almost surely, 2^151972040 is an apocalyptic number.

151972040 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 151972040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194633280).

151972040 is an abundant number, since it is smaller than the sum of its proper divisors (237294520).

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

151972040 is a wasteful number, since it uses less digits than its factorization.

151972040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15062 (or 15058 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 151972040 is about 12327.6940260537. The cubic root of 151972040 is about 533.6476047070.

The spelling of 151972040 in words is "one hundred fifty-one million, nine hundred seventy-two thousand, forty".