151172490240 has 440 divisors, whose sum is σ = 547130675520. Its totient is φ = 39909998592.

The previous prime is 151172490199. The next prime is 151172490251. The reversal of 151172490240 is 42094271151.

151172490240 is a `hidden beast` number, since 15 + 117 + 2 + 490 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 151172490195 and 151172490204.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42714391 + ... + 42717929.

It is an arithmetic number, because the mean of its divisors is an integer number (1243478808).

Almost surely, 2^151172490240 is an apocalyptic number.

151172490240 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 151172490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273565337760).

151172490240 is an abundant number, since it is smaller than the sum of its proper divisors (395958185280).

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

151172490240 is a wasteful number, since it uses less digits than its factorization.

151172490240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3679 (or 3652 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 151172490240 in words is "one hundred fifty-one billion, one hundred seventy-two million, four hundred ninety thousand, two hundred forty".