151006680 has 320 divisors, whose sum is σ = 585446400. Its totient is φ = 34525440.

The previous prime is 151006679. The next prime is 151006703. The reversal of 151006680 is 86600151.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 677049 + ... + 677271.

It is an arithmetic number, because the mean of its divisors is an integer number (1829520).

Almost surely, 2^151006680 is an apocalyptic number.

151006680 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 151006680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292723200).

151006680 is an abundant number, since it is smaller than the sum of its proper divisors (434439720).

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

151006680 is a wasteful number, since it uses less digits than its factorization.

151006680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 151006680 is about 12288.4775297837. The cubic root of 151006680 is about 532.5152544727.

151006680 divided by its sum of digits (27) gives a triangular number (5592840 = T₃₃₄₄).

The spelling of 151006680 in words is "one hundred fifty-one million, six thousand, six hundred eighty".