151414717740 has 384 divisors, whose sum is σ = 506975293440. Its totient is φ = 33283660800.

The previous prime is 151414717739. The next prime is 151414717747. The reversal of 151414717740 is 47717414151.

It is a junction number, because it is equal to n+sod(n) for n = 151414717692 and 151414717701.

It is not an unprimeable number, because it can be changed into a prime (151414717747) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 120265231 + ... + 120266489.

It is an arithmetic number, because the mean of its divisors is an integer number (1320248160).

Almost surely, 2^151414717740 is an apocalyptic number.

151414717740 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 151414717740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253487646720).

151414717740 is an abundant number, since it is smaller than the sum of its proper divisors (355560575700).

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

151414717740 is a wasteful number, since it uses less digits than its factorization.

151414717740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 109760, while the sum is 42.

The spelling of 151414717740 in words is "one hundred fifty-one billion, four hundred fourteen million, seven hundred seventeen thousand, seven hundred forty".