151070400 has 336 divisors, whose sum is σ = 595274400. Its totient is φ = 37048320.

The previous prime is 151070393. The next prime is 151070429. The reversal of 151070400 is 4070151.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 561466 + ... + 561734.

It is an arithmetic number, because the mean of its divisors is an integer number (1771650).

Almost surely, 2^151070400 is an apocalyptic number.

151070400 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 151070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297637200).

151070400 is an abundant number, since it is smaller than the sum of its proper divisors (444204000).

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

151070400 is a wasteful number, since it uses less digits than its factorization.

151070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 151070400 is about 12291.0699290176. The cubic root of 151070400 is about 532.5901454211.

The spelling of 151070400 in words is "one hundred fifty-one million, seventy thousand, four hundred".