151678292040 has 256 divisors, whose sum is σ = 554646528000. Its totient is φ = 36564560640.

The previous prime is 151678292039. The next prime is 151678292081. The reversal of 151678292040 is 40292876151.

151678292040 is a `hidden beast` number, since 1 + 516 + 7 + 8 + 2 + 92 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2090857 + ... + 2162183.

It is an arithmetic number, because the mean of its divisors is an integer number (2166588000).

Almost surely, 2^151678292040 is an apocalyptic number.

151678292040 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 151678292040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277323264000).

151678292040 is an abundant number, since it is smaller than the sum of its proper divisors (402968235960).

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

151678292040 is a wasteful number, since it uses less digits than its factorization.

151678292040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71537 (or 71527 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 151678292040 in words is "one hundred fifty-one billion, six hundred seventy-eight million, two hundred ninety-two thousand, forty".