151006501378350 has 72 divisors (see below), whose sum is σ = 405705534422760. Its totient is φ = 40268261338560.

The previous prime is 151006501378339. The next prime is 151006501378351. The reversal of 151006501378350 is 53873105600151.

151006501378350 is a `hidden beast` number, since 1 + 5 + 10 + 0 + 6 + 501 + 3 + 7 + 83 + 50 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 151006501378296 and 151006501378305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151006501378351) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 259425436 + ... + 260006864.

It is an arithmetic number, because the mean of its divisors is an integer number (5634799089205).

Almost surely, 2^{151006501378350} is an apocalyptic number.

151006501378350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

151006501378350 is an abundant number, since it is smaller than the sum of its proper divisors (254699033044410).

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

151006501378350 is a wasteful number, since it uses less digits than its factorization.

151006501378350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158594 (or 1158586 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 151006501378350 in words is "one hundred fifty-one trillion, six billion, five hundred one million, three hundred seventy-eight thousand, three hundred fifty".